Areas Related To Circles Class 10 MCQ

# Areas Related To Circles Class 10 MCQ

Areas Related To Circles Class 10 MCQ: Master the concepts of circles with our Areas Related to Circles Class 10 MCQ collection. This essential resource covers Chapter 12 from the CBSE Class 10 Math syllabus. Our comprehensive set of multiple-choice questions on areas related to circles will help you grasp important topics like arc length, sector area, and segment area.

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## What is Areas Related To Circles Class 10 MCQ

Areas Related to Circles MCQs cover various aspects like calculating the area of sectors, segments, and circles. You’ll find questions about the area of a circle, arc length, and sector area.

Each question comes with answers and detailed explanations. By working through these math problems, students can review key concepts and enhance their problem-solving speed and accuracy. This practice is designed to help students excel in their exams.

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## CBSE Chapter 12 Areas Related To Circles Class 10 MCQ with Answers

Question 1: What is the formula to find the area of a circle?

A) 𝜋𝑟2
B) 2πr
C) 𝜋𝑑
D) 1/2 𝜋𝑟2

Question 2: A circle has a radius of 7 cm. What is the area of the circle?

A)49 𝜋 cm ^2
B) 14 𝜋 cm^2
C) 49 cm^2
D 14 cm^2

Question 3: The circumference of a circle is 31.4 cm. What is the radius of the circle? (Use 𝜋 = 3.14 )

A) 5 cm
B) 10 cm
C) 7 cm
D) 3 cm

Question 4: If the area of a circle is 36 𝜋 cm^2 what is the diameter of the circle?

A) 6 cm
B) 12 cm
C) 18 cm
D) 36 cm

Question 5: The length of the arc of a sector is 10 cm and the radius of the circle is 5 cm. What is the angle of the sector in radians?

Question 6: What is the angle of the sector in degrees?

A) 30 degrees
B) 45 degrees
C) 60 degrees
D) 90 degrees

Question 7: What is the circumference of the circle?

A) 18 cm
B) 9 cm
C) 36 cm
D) 27 cm

Question 8: If the diameter of a circle is doubled, how does the area of the circle change?

A) It remains the same
B) It is doubled
D) It is halved

Question 9: When a circle’s circumference is the same as the perimeter of a square, which relationship holds between the side of the square and the radius of the circle?

(A) The area of the circle is equal to the area of the square.

(B) The area of the circle is greater than the area of the square.

(C) The area of the circle is less than the area of the square.

(D) It’s not possible to determine the relationship between the areas of the circle and the square.

Question 10: What is the area of the largest triangle that can be inscribed in a semicircle with a radius of r units?

(A) r2

(B) ½ r2

(C) 2 r2

(D) √2 r2

Question 11: If a circle’s perimeter is the same as the perimeter of a square, what is the ratio of their areas?

(A) 22:7

(B) 14:11

(C) 7:22

(D) 11:14

### Areas Related To Circle Class 10 MCQ (High Level Questions)

1. What is the area of a sector of a circle with a radius of 7 cm and an angle of 60 degrees?

A. 7π cm²

B. 14π cm²

C. 49π/6 cm²

D. 7π/3 cm²

2. If the circumference of a circle is 22π cm, what is the area of the circle?

A. 121π cm²

B. 44π cm²

C. 154π cm²

D. 66π cm²

3. A circle with a radius of 5 cm is inscribed in a square. What is the area of the square?

A. 25 cm²

B. 50 cm²

C. 100 cm²

D. 75 cm²

4. What is the length of the arc subtended by a 90-degree angle in a circle with a radius of 4 cm?

A. 2π cm

B. 4π cm

C. π cm

D. 3π cm

5. A circle has an area of 36π cm². What is the length of its diameter?

A. 6 cm

B. 12 cm

C. 18 cm

D. 24 cm

6. Find the area of the shaded region if the radius of the circle is 8 cm and the angle of the sector is 120 degrees.

A. 32π cm²

B. 16π cm²

C. 64π/3 cm²

D. 64π/6 cm²

7. A circular garden has a circumference of 44 cm. What is the area of the garden?

A. 154 cm²

B. 77 cm²

C. 22 cm²

D. 33 cm²

8. If the area of a circle is increased by 44π cm², by what percentage is the radius increased?

A. 10%

B. 20%

C. 25%

D. 50%