Class 10 Maths MCQs for Chapter 12 Areas Related to Circles with Answers PDF

MCQs for Class 10 Maths Chapter 12 Areas Related to Circles are available here with solved answers. These questions are made according to the latest CBSE syllabus and NCERT textbook. Practising them can help students understand the chapter better and score well in the board exam. Students can also download a free PDF for extra practice and revision.

MCQs Questions for Class 10 Maths Chapter 12 Areas Related to Circles

Question 1: Find the area of a circle whose radius is 7 cm.

Options:

(A). 49π cm²

(B). 14π cm²

(C). 154 cm²

(D). 308 cm²

Correct Answer: (A). 49π cm²

Explanation: The area of a circle is found using the formula πr².

Area = π × 7 × 7 = 49π cm²

Question 2: Calculate the circumference of a circle having radius 14 cm.

Options:

(A). 14π cm

(B). 28π cm

(C). 44 cm

(D). 88 cm

Correct Answer: (B). 28π cm

Explanation: Circumference of a circle = 2πr

= 2 × π × 14

= 28π cm

Question 3: Which formula gives the area of a semicircle?

Options:

(A). πr²

(B). 1/4 πr²

(C). 1/2 πr²

(D). 2πr²

Correct Answer: (C). 1/2 πr²

Explanation: A semicircle is half of a complete circle, so its area is half of πr².

Question 4: What is the perimeter of a semicircle of radius r?

Options:

(A). πr

(B). 2πr

(C). πr + 2r

(D). 2πr + 2r

Correct Answer: (C). πr + 2r

Explanation: The perimeter includes the curved part and the diameter.

So, perimeter = πr + 2r

Question 5: A quadrant is one-fourth of a circle. What is its area?

Options:

(A). πr²

(B). 1/2 πr²

(C). 1/3 πr²

(D). 1/4 πr²

Correct Answer: (D). 1/4 πr²

Explanation: Since a quadrant represents one-fourth of the circle, divide πr² by 4.

Question 6: If the diameter of a circle becomes double, how does the area change?

Options:

(A). Double

(B). Four times

(C). Half

(D). Eight times

Correct Answer: (B). Four times

Explanation: Area depends on the square of the radius. Doubling the diameter doubles the radius.

So, area becomes 2² = 4 times.

Question 7: The length of an arc mainly depends on which of the following?

Options:

(A). Radius only

(B). Angle only

(C). Radius and central angle

(D). Diameter only

Correct Answer: (C). Radius and central angle

Explanation: Arc length changes with both the size of the angle and the radius of the circle.

Question 8: Choose the correct formula for the area of a sector.

Options:

(A). (θ/360) πr²

(B). (θ/180) πr²

(C). 2πrθ

(D). πr²θ

Correct Answer: (A). (θ/360) πr²

Explanation: The area of a sector depends on the central angle θ.

Question 9: Another name for the circumference of a circle is:

Options:

(A). Diameter

(B). Arc

(C). Perimeter

(D). Sector

Correct Answer: (C). Perimeter

Explanation: The total boundary length of a circle is known as its perimeter or circumference.

Question 10: A circle has radius 21 cm. Find its diameter.

Options:

(A). 21 cm

(B). 42 cm

(C). 63 cm

(D). 84 cm

Correct Answer: (B). 42 cm

Explanation: Diameter = 2 × Radius

= 2 × 21 = 42 cm

Question 11: The region between two concentric circles is called:

Options:

(A). Sector

(B). Segment

(C). Annulus

(D). Arc

Correct Answer: (C). Annulus

Explanation: The ring-shaped region between two circles is known as an annulus.

Question 12: Identify the correct formula for circumference.

Options:

(A). πr²

(B). 2πr

(C). πd²

(D). r²

Correct Answer: (B). 2πr

Explanation: Circumference measures the outer boundary of the circle.

Question 13: When does the area of a circle increase?

Options:

(A). Radius decreases

(B). Radius increases

(C). Diameter decreases

(D). Circumference decreases

Correct Answer: (B). Radius increases

Explanation: Area depends directly on the square of the radius.

Question 14: Find the area of a circle whose diameter is 14 cm.

Options:

(A). 49π cm²

(B). 14π cm²

(C). 28π cm²

(D). 196π cm²

Correct Answer: (A). 49π cm²

Explanation: Radius = 14 / 2 = 7 cm

Area = π × 7² = 49π cm²

Question 15: The curved part of a sector is known as:

Options:

(A). Chord

(B). Radius

(C). Arc

(D). Diameter

Correct Answer: (C). Arc

Explanation: The curved boundary joining two radii is called an arc.

Question 16: The area of a circle is proportional to:

Options:

(A). Radius

(B). Diameter

(C). Square of radius

(D). Circumference

Correct Answer: (C). Square of radius

Explanation: The formula πr² clearly shows that area depends on r².

Question 17: If the radius becomes three times, what happens to the area?

Options:

(A). 3 times

(B). 6 times

(C). 9 times

(D). 12 times

Correct Answer: (C). 9 times

Explanation: Area changes according to the square of the radius.

3² = 9

Question 18: The perimeter of a circle is measured in:

Options:

(A). Square units

(B). Cubic units

(C). Linear units

(D). None of these

Correct Answer: (C). Linear units

Explanation: Perimeter measures length, so the unit will always be linear.

Question 19: A sector with a central angle of 90° is called:

Options:

(A). Semicircle

(B). Quadrant

(C). Segment

(D). Arc

Correct Answer: (B). Quadrant

Explanation: A quadrant represents one-fourth of a complete circle.

Question 20: Find the area of a semicircle with radius 14 cm.

Options:

(A). 98π cm²

(B). 49π cm²

(C). 196π cm²

(D). 28π cm²

Correct Answer: (A). 98π cm²

Explanation: Area of semicircle = 1/2 × πr²

= 1/2 × π × 14²

= 98π cm²

Question 21: The area of a quadrant is what fraction of the whole circle?

Options:

(A). 1/2

(B). 1/3

(C). 1/4

(D). 1/5

Correct Answer: (C). 1/4

Explanation: A quadrant means one-fourth part of the circle.

Question 22: The ratio of circumference to diameter always remains:

Options:

(A). 2

(B). π

(C). 1/2

(D). 4

Correct Answer: (B). π

Explanation: For every circle, circumference ÷ diameter = π.

Question 23: If the radius of a circle is reduced to half, what happens to the area?

Options:

(A). Half

(B). Double

(C). One-fourth

(D). Four times

Correct Answer: (C). One-fourth

Explanation: When radius becomes half, area becomes (1/2)² = 1/4.

Question 24: The outer boundary of a circle is called:

Options:

(A). Radius

(B). Arc

(C). Circumference

(D). Diameter

Correct Answer: (C). Circumference

Explanation: The complete curved boundary of a circle is known as circumference.

Question 25: The diameter of a circle is 28 cm. Find its circumference.

Options:

(A). 14π cm

(B). 28π cm

(C). 56π cm

(D). 84π cm

Correct Answer: (B). 28π cm

Explanation: Circumference = πd

= π × 28

= 28π cm

Download PDF - MCQs for Class 10 Maths Chapter 12 Areas Related to Circles