# MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles with Answers

Students are advised to solve the Areas Related to Circles Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Areas Related to Circles Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Areas Related to Circles Class 10 with answers provided with detailed solutions by looking below.

Question 1.

The circumference of a circle exceeds its diameter by 120cm, then its radius is

(a) 56cm

(b) 14cm

(c) 42cm

(d) 28cm

## Answer

Answer: (d) 28cm

Question 2.

The area of a circle is 2464 sq. cm, then its diameter is given by

(a) 7cm

(b) 14cm

(c) 28cm

(d) 56cm

## Answer

Answer: (d) 56cm

Question 3.

The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is

(a) 2670 m

(b) 2880 m

(c) 1980 m

(d) 1596 m

## Answer

Answer: (c) 1980 m

Question 4.

The area of a sector of a circle with radius 21cm and sector angle 120° is

(a) 462 sq. cm

(b) 288 sq. cm

(c) 156 sq. cm

(d) 426 sq. cm

## Answer

Answer: (a) 462 sq. cm

Question 5.

The perimeter of a circle is equal to that of a square, then the ratio of their areas is

(a) 22 : 7

(b) 14 : 11

(c) 1 : 22

(d) 11 : 14

## Answer

Answer: (b) 14 : 11

Question 6.

The ratio of the areas of the incircle and circumcircle of a square is

(a) 1 : 2

(b) 1 : 3

(c) 1 : 4

(d) 1 : √2

## Answer

Answer: (a) 1 : 2

Question 7.

If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is:

(a) 4 units

(b) n units

(c) 8 units

(d) 2 units

## Answer

Answer: (c) 8 units

Question 8.

The ratio of area of two circles whose ratio of circumference is 3:1 will be

(a) 3 : 1

(b) 1 : 3

(c) 1 : 9

(d) 9 : 1

## Answer

Answer: (d) 9 : 1

Question 9.

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

(a) 11cm

(b) 22 cm

(c) 44 cm

(d) 55 cm

## Answer

Answer: (c) 44 cm

Question 10.

The area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm^{2}, then its radius is

(a) 12 cm

(b) 16 cm

(c) 8 cm

(d) 10 cm

## Answer

Answer: (c) 8 cm

Question 11.

The area of a circle whose circumference is 22 cm, is

(a) π cm^{2}

(b) 38.5 cm^{2}

(c) 22 cm^{2}

(d) 77 cm^{2}

## Answer

Answer: (b) 38.5 cm^{2}

Question 12.

If the radius of a circle is increased by 100%, then its area is increased by

(a) 100%

(b) 300%

(c) 200%

(d) 400%

## Answer

Answer: (b) 300%

Question 13.

The perimeter of a semicircular protractor whose radius is 7cm is

(a) 18cm

(b) 27cm

(c) 36cm

(d) 72cm

## Answer

Answer: (c) 36cm

Question 14.

If ‘r’ is the radius of a circle, then its perimeter is given by

(a) πr

(b) 2πr

(c) 2πd

(d) none of these

## Answer

Answer: (b) 2πr

Question 15.

The area of the circle that can be inscribed in a square of side 10cm is

(a) 25 sq.cm

(b) 10π sq.cm

(c) 125π sq.cm

(d) 20π sq.cm

## Answer

Answer: (c) 125π sq.cm

Question 16.

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

(a) 10 m

(b) 15 m

(c) 20 m

(d) 24 m

## Answer

Answer: (a) 10 m

Question 17.

The distance covered by a circular wheel of diameter ‘d’ in 100 revolutions is

(a) 100π

(b) 100d

(c) πd

(d) 100πd

## Answer

Answer: (d) 100πd

Question 18.

The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is

(a) 2670 m

(b) 2880 m

(c) 1980 m

(d) 1596 m

## Answer

Answer: (c) 1980 m

Question 19.

The area of the square that can be inscribed in a circle of radius 12 cm is

(a) 288 sq. cm

(b) 576 sq. cm

(c) 144 sq.cm

(d) 500 sq. cm

## Answer

Answer: (a) 288 sq. cm

Question 20.

The perimeter (in cm) of a square circumscribing a circle of radius a cm, is

(a) 8 a

(b) 4 a

(c) 2 a

(d) 16

## Answer

Answer: (a) 8 a

Question 21.

The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm) is:

(a) 5

(b) 7

(c) 10

(d) 14

## Answer

Answer: (c) 10

Question 22.

The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumference of two circles is

(a) 35 cm

(b) 10 cm

(c) 21 cm

(d) 28 cm

## Answer

Answer: (d) 28 cm

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