These Areas Related to Circles Class 10 MCQ with Answers are Compulsory for the Class 10 Board Exam. According to the new guidelines of the CBSE Exam pattern, Objective type Questions or MCQ will be interrogated in the board exam. So, Students have the extraordinary chance to get some extra no. with only a couple of words. Practice these MCQs on Areas Related to Circles Class 10 that are given below and make your concepts of the chapter strong.

Students can refer to the following MCQ Questions for Class 10 Areas Related to Circles with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Areas Related to Circles Class 10 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Areas Related to Circles Class 10 MCQ Questions with Answer

We have provided below chapter wise MCQs questions for Class 10 Areas Related to Circles with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Areas Related to Circles MCQs in Class 10 pdf download can be really scoring for students, you should go through all problems and MCQ Questions for Class 10 Maths provided below so that you are able to get more marks in your exams.

**Question.** If the radius of a circle is 7/√7 cm, find the area of the circle.

(a) 154 cm^{2}

(b) 49/π cm^{2}

(c)22 cm^{2}

(d) 49 cm^{2}

## **Answer**

D

**Question.** If the ratio of circumference of two circles is 4:9, what is the ratio of their respective areas?

(a) 9:4

(b) 16:81

(c) 4:9

(d) 2:3

## **Answer**

B

**Question.** The length of the minute hand of a wall clock is 21 cm long. What is the area swept by it in 10 minutes?

(a) 231 cm^{2}

(b) 221 cm^{2}

(c) 210cm^{2}

(d) 200cm^{2}

## **Answer**

A

**Question.** The top of a dining table is rectangular, 2x units long and x units wide, with two semicircles along the breadth. Find the area of the table.

## **Answer**

C

**Question.** If the length of the arc of a circle having a**central angle 36° is 22 cm, what is the area** **of the circle?**

(a) 3580 cm^{2}

(b) 3850 cm^{2}

(c) 3058 cm^{2}

(d) 3805 cm^{2}

## **Answer**

B

**Question.****Find the area of a segment of a circle of radius 21 cm if the angle made by the arc of the segment has a measure of 600 .**

(a) 45.27 cm^{2}

(b) 40.27 cm^{2}

(c) 40.8 cm^{2}

(d) 44.27 cm^{2}

## **Answer**

B

**Question.****The given figure shows two identical circles and a rectangle.**

What is the unshaded area of the figure in cm^{2} ? (Takeπ = 3.14 .)

(a) 40

(b) 43

(c) 25

(d) 33

## **Answer**

B

**Question.** The figure shows a right-angled triangle and a semicircle. PQ is the diameter of the**semicircle.**

Find the perimeter of the whole figure.

(a) 13 + 8π

(b) 30 + 5π

(c) 18 + 6π

(d) 18 + 10π

## **Answer**

C

**Question.** If the ratio of areas of two circles is 16:25, what is the respective ratio of their circumferences?

(a) 25:16

(b) 5:4

(c) 4:5

(d) 3:5

## **Answer**

C

**Question.** Mrs. Vidya bought a piece of cloth as shown in the figure. The portion of the cloth that is not coloured consists of 6 identical semicircles.

Find the area of the coloured portion.

(a) 144 cm^{2}

(b) 126 cm^{2}

(c) 195cm^{2}

(d) 243 cm^{2}

## **Answer**

B

**Question. A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?**

(a) 11 : 12

(b) 21 : 33

(c) 22 : 33

(d) 14 : 11

## **Answer**

D

**Question.** In the given figure, a circle with centre B overlaps another circle with centre A and a square. The ratio of areas of P and Q is 5 :4 and the area of Q is 1/8 the area of circle B. The radii of circle A and circle B are 10 cm**and 8 cm respectively.**

Find the area of the unshaded part of the figure. (Take π = 3.14 .)

(a) 449.75 cm^{2}

(b) 520.60 cm^{2}

(c) 563.72 cm^{2}

(d) 450.92 cm^{2}

## **Answer**

D

**Question.** A regular hexagon is inscribed in a circle of radius 14 cm. Find the area of the circle falling outside the hexagon.

(a)106.79 cm^{2}

(b) 241.8 cm^{2}

(c) 79.27 cm^{2}

(d) 173.9 cm^{2}

## **Answer**

A

**Question.** 4 identical semicircles are drawn inside a big square as shown. Each side of the big square is 14cm long.

Find the area of the shaded region. (Use π = 22/7.)

(a) 125cm^{2}

(b)112 cm^{2}

(c) 173cm^{2}

(d) 159 cm^{2}

## **Answer**

B

**Question.** A square shaped bus shelter is supported on four circular poles-The circumference of each pole is ‘x’ m and the length of each side of the shelter is ‘y’ m. Find the area of the unsupported part of the shelter.

## **Answer**

D

**Question.** The given figure shows a plot of land, which is made up of 2 semicircles, a rectangle and an isosceles triangle. The diameter of the bigger semicircle is 7 m longer than that of the smaller semicircle. (Use π = 22/7.)

If the shaded region is covered with grass, find the area of the land covered with grass.

(a) 502 m^{2}

(b) 497 m^{2}

(c) 433 m^{2}

(d) 564 m^{2}

## **Answer**

B

**Question.** The given figure shows 2 identical circles**inside a rectangle in 2 cm .**

Find the shaded area of the figure. (Take π = 3.14.)

(a) 1300

(b) 1154

(c) 1092

(d) 1256

## **Answer**

D

**Question.** The difference between circumference and radius of a circle is 37 m. Find the circumference of the circle.

(a) 7 m

(b) 44 m

(c) 154 m

(d) 186 m

## **Answer**

B

**Question.** The figure given is made up of a circle and 3 identical semicircles. 0 is the centre of the circle and XY is the diameter of the circle.

Given that XY is 28 cm, find the perimeter of the shaded part of the figure. (Use π = 22/7.)

(a) 67 cm

(b) 50 cm

(c) 80 cm

(d) 15 cm

## **Answer**

C

**Question. The length of the minute hand of a wallclock is 21 cm long. What is the area swept by it in 10 minutes? **

(a) 231 cm^{2}

(b) 221 cm^{2}

(c) 210cm^{2}

(d) 200cm^{2}

**Answer**

A

**Question. The circumference of a circle exceeds its diameter by 30 cm. Find the radius of the circle. **

(a) 7 cm

(b) 14 cm

(c) 21 cm

(d) 28 cm

**Answer**

A

**Question. The figure given is made up of a rectangle, 2 identical semicircles and a quadrant. **

**Find the unshaded area of the figure. (Use π = 22/7) .**

(a) 1350 cm^{2}

(b) 1154 cm^{2}

(c) 1400 cm^{2}

(d) 1260 cm^{2}

**Answer**

D

**Question. If the circumference of a circle is 30/π the diameter of the circle? **

(a) 60π

(b) 15π

(c) 30π^{2}

(d) 30

**Answer**

C

**Question. The given figure is made up of a rectangle and 2 identical circles. Given that the length of the rectangle is 28 cm. **

**What is the area of the shaded region? (Use π = 22/7).**

(a) 119 cm^{2}

(b) 105 cm^{2}

(c) 152 cm^{2}

(d) 123 cm^{2}

**Answer**

A

**Question. What is the area of the largest triangle that can be inscribed in a semicircle whose radius is ‘r’ cm? **(a) 2r cm

^{2}

(b) r

^{2}cm

^{2}

(c) 2r

^{2}cm

^{2}

(d) r/2 cm

^{2}

**Answer**

B

**Question. The minute hand of a clock is 7 cm long. Find the area traced out by the minute hand of the clock between 4:15 p.m. and 4:35 p.m. on a day. **(a) 59 cm

^{2}

(b) 65 cm

^{2}

(c) 52 cm

^{2}

(d) 45 cm

^{2}

**Answer**

C

**Question. If a square of side ‘s’ units is carved out from a circle, find the ratio of the areas of two figures. **(a) 2: π

(b) π : 2

(c) π : 4

(d) 4 : π

**Answer**

A

**Question. By The shaded part of the given figure shows a running track in a stadium. **

**Find the area of the track. (Take π = 22/7)**(a) 2058 m

^{2}

(b) 1546 m

^{2}

(c) 3514 m

^{2}

(d) 1923 m

^{2}

**Answer**

A

**Question. Arjun drew a figure as shown in figure, where a circle is divided into 18 equal parts. He then shaded some of the parts. (Take π = 3.14 .) **

**Find the total area that Arjun shaded.**(a) 25.12 cm

^{2}

(b) 29.25 cm

^{2}

(c) 36.4 cm

^{2}

(d) 45.2 cm

^{2}

**Answer**

A

**Question.** A copper wire, when bent in the form of a**square, encloses an area of 484 cm ^{2} . If the same wire is bent in the form of a circle, find the area in cm^{2} **.

(a) 606

(b) 661

(c) 616

(d) 610

## **Answer**

C

**Question.** The figure shows an isosceles triangle and a semicircle with centre O.

Given that the radius of the semicircle is 2.8 cm, find the perimeter of the given figure.

(a) 15.6 cm

(b) 18.8 cm

(c) 16.8 cm

(d) 20.4 cm

## **Answer**

B

**Question. If the perimeter of an arc of a circle is 43 cm** **and the radius of the circle is 21 cm, find the** **angle subtended at the centre.**

(a) 3.72°

(b) 2.73°

(c) 2.37°

(d) 3.27°

## **Answer**

B

**Question. If the area of a circle is 154 cm ^{2}, then its perimeter is **

(a) 11 cm

(b) 22 cm

(c) 44 cm

(d) 55 cm

**Answer**

C

**Question. The area of a quadrant of a circle whose circumference is 616 cm will be **

(a) 7546 cm^{2}

(b) 7500 cm^{2}

(c) 7456 cm^{2}

(d) 7564 cm^{2}

**Answer**

A

**Question. The area of a square inscribed in a circle of diameter p cm is **

(a) p^{2} cm^{2}

(b) p/4cm^{2}

(c) p ^{2} /2 cm^{2}

(d) p /2 cm^{2}

**Answer**

C

**Question. The area of the square that can be inscribed in a circle of radius 8 cm is **

(a) 256 cm^{2}

(b) 128 cm^{2}

(c) 64 √2 cm^{2}

(d) 64 cm^{2}

**Answer**

B

**Question. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is **

(a) 56 cm

(b) 42 cm

(c) 28 cm

(d) 16 cm

**Answer**

C

**Question. The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is **

(a) 31 cm

(b) 25 cm

(c) 62 cm

(d) 50 cm

**Answer**

D

**Question. The area of a circle whose area and circumference are numerically equal is **

(a) 2π sq. units

(b) 4π sq. units

(c) 6π sq. units

(d) 8π sq. units

**Answer**

B

**Question. If the area of circle is 1386 cm ^{2}, then its circumference is **

(a) 66 cm

(b) 88 cm

(c) 132 cm

(d) 264 cm

**Answer**

C

**Question. The diameter of a wheel is 1 m. The number of revolutions it will make to travel a distance of 22 km will be **

(a) 2,800

(b) 4,000

(c) 5,500

(d) 7,000

**Answer**

D

**Question. A circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular park is 132 cm. Its width is **

(a) 20 cm

(b) 21 cm

(c) 22 cm

(d) 24 cm

**Answer**

B

**Question. The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal is **

(a) π : √2

(b) π : √3

(c) √3 : π

(d) √2 : π

**Answer**

B

**Question. The figure given shows a rectangle with a semi-circle and 2 identical quadrants inside it. What is the shaded area of the figure? (Use π = 22/6 7 ) **

(a) 363 cm^{2}

(b) 259 cm^{2}

(c) 305 cm^{2}

(d) 216 cm^{2}

**Answer**

B

**Question. The perimeter of a sector of a circle with central angle 90° is 25 cm. Then the area of the minor segment of the circle is. **

(a) 14 cm^{2}

(b) 16 cm^{2}

(c) 18 cm^{2}

(d) 24 cm^{2}

**Answer**

A

**Question. If the ratio of the areas of the two circles is 25 : 16, then the ratio of their circumferences is **

(a) 25/ 16

(b) 4/ 5

(c) 5 /4

(d) 500 /625

**Answer**

C

**Question. If the sector of a circle of diameter 14cm subtends an angleof 30° at the centre, then its area is **

(a) 49π

(b) 49π/12

(c) 242/ 3π

(d) 121/ π

**Answer**

B

**Question. If the sector of a circle of diameter 10 cm subtends an angle of 144° at the centre, then the length of the arc of the sector is **

(a) 2π cm

(b) 4π cm

(c) 5π cm

(d) 6π cm

**Answer**

B

**Question. A race track is in the form of a ring whose inner and outer circumference are 437m and 503m respectively. The area of the track is **

(a) 66 sq. cm

(b) 4935 sq. cm

(c) 9870 sq. cm

(d) None of these

**Answer**

B

**Question. If the sum of the circumferences of two circles with diameters d1 and d ^{2} is equal to the circumference of a circle of diameter d, then **

(a) d_{1}^{2}+d_{2}^{2}=d^{2}

(b) d_{1}+ d_{2} = d

(c) d_{1}+ d_{2} > d

(d) d_{1}+ d_{2} < d

**Answer**

B

**Question. Which of the following statement is/are not correct? **

(a) A chord divides the interior of a circle into two parts.

(b) An arc of a circle whose length is less than that of a semicircle of the same circle is a called a minor arc.

(c) Circles having the same centre but different radii are called concentric circles.

(d) A line segment joining any two points of a circle is called an arc.

**Answer**

D

**Question. In the adjoining figure, OABC is a C square of side 7 cm. OAC is a quadrant of a circle with O as centre. The area of the shaded region is **

(a) 10.5 cm^{2}

(b) 38.5 cm^{2}

(c) 49 cm^{2}

(d) 11.5 cm^{2}

**Answer**

A

**Question. If the radius of a circle is diminished by 10%, then its area is diminished by **

(a) 10%

(b) 19%

(c) 36%

(d) 20%

**Answer**

B

**Question. The area of a circular ring formed by two concentric circles whose radii are 5.7 cm and 4.3 cm respectively is (Take π = 3.1416) **

(a) 43.98 sq.cm

(b) 53.67 sq. cm

(c) 47.24 sq.cm

(d) 38.54 sq.cm

**Answer**

A

**Question. A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240º. If another circle of the area same as the sector is formed, then radius of the new circle is **

(a) 79.5 cm

(b) 81.6 cm

(c) 83.4 cm

(d) 88.5 cm

**Answer**

B

**Question. The sum of the areas of two circles, which touch each other externally, is 153 π. If the sum of their radii is 15, then the ratio of the larger to the smaller radius is **

(a) 4 : 1

(b) 2 : 1

(c) 3 : 1

(d) None of these

**Answer**

A

**Question. If the perimeter of a semi-circular protractor is 36 cm, then its diameter is **

(a) 10 cm

(b) 14 cm

(c) 12 cm

(d) 16 cm

**Answer**

B

**Question. The area of a sector of angle p (in degrees) of a circle with radius R is **

(a) p/360°×2πR

(b) p/180°×πR^{2}

(c) p/720°×2πR

(d) p/720°×2πR^{2}

**Answer**

D

**Question. Find area of minor segment made by a chord which subtends right-angle at the centre of a circle of radius 10 cm. **

(a) 24.5 cm^{2}

(b) 25.5 cm^{2}

(c) 24.5 cm^{2}

(d) 28.5 cm2

**Answer**

D

**Question. Which of the following is/are not correct? **

(a) Area of a circle with radius 6 cm, if angle of sector is 60°, is 132/14cm^{2}.

(b) If a chord of circle of radius 14 cm makes an angleof 60° at the centre of the circle, then area of major sector is 512.87 cm^{2}.

(c) The ratio between the circumference and area of a circle of radius 5 cm is 2 : 5.

(d) Area of a circle whose radius is 6 cm, when the length of the arc is 22 cm, is 66 cm^{2}.

**Answer**

A

**Fill in the Blanks : **

**Question. Circumference of a circle is ……………… . **

**Answer**

**2πr.**

**Question. The area of a circle is the measurement of the region enclosed by its …………….. . **

**Answer**

**boundary**

**Question. The region enclosed by an arc and a chord is called the …………….. of the circle. **

**Answer**

** segment**

**Question. A sector of a circle is called a …………….. sector if the minor arc of the circle is a part of its boundary. **

**Answer**

**minor**

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