## CBSE Class 10 Maths Chapter 12 Areas Related to Circles Multiple Choice Questions with Answer Key

**Areas Related to Circles MCQs** – Here is a compilation of **Class 10 Maths Chapter 12 Areas Related to Circles MCQs**. Students can practice free MCQs as have been added by CBSE in the new Exam pattern to know their preparation level. At the end of Multiple Choice Questions, the answer key has also been provided for your reference.

**Q1. The area of a circle whose circumference is 22 cm, is**

(A) 11 cm²

(B) 38.5 cm²

(C) 22 cm²

(A) 77 cm²

**Q2. The area of a circle is 154 cm². Its diameter is**

(A) 7 cm

(B) 14 cm

(C) 21 cm

(D) 28 cm

**Q3. The area of a quadrant of a circle whose circumference is 22 cm, is**

(A) 118cm2

(B) 772cm2

(C) 774cm2

(D) 778cm2

**Q4. A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze, is**

(A) 77 cm²

(B) 772cm2

(C) 154 cm²

(D) 774cm2

**Q5. The area of the circle whose diameter is 21 cm is**

(A) 346.5 cm²

(B) 37.68 cm²

(C) 18.84 cm²

(D) 19.84 cm²

**Q6. The area of the sector of a circle with radius 6 cm and of angle 60° is**

(A) 9.42 cm²

(B) 37.68 cm²

(C) 18.84 cm²

(D) 19.84 cm²

**Q7. The area of the circle that can be inscribed in a square of side 6 cm is :**

(A) 36π cm²

(B) 18π cm²

(C) 12π cm²

(D) 9π cm²

**Q8. The area of the circle is 154 cm². The radius of the circle is**

(A) 7 cm

(B) 14 cm

(C) 3.5 cm

(D) 17.5 cm

**Q9. If angle of sector is 60°, radius is 3.5 cm then length of the arc is**

(A) 3 cm

(B) 3.5 cm

(C) 3.66 cm

(D) 3.8 cm

**Q10. If 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) 7 : 22

(D) 11 : 14

**Q11. The area of the square that can be inscribed in a circle of radius 8 cm is**

(A) 256 cm²

(B) 128 cm²

(C) 642 cm²

(D) 64 cm²

**Q12. If the sum of the circumferences of two circles with radii R****1**** and R****2**** is equal to the circumference of a circle of radius R, then :**

(A) R1 + R2 = R

(B) R1 + R2 > R

(C) R1 + R2 < R

(D) Nothing definite can be said about the relation among R1, R2 and R

**Q13. If the circumference of a circle and the perimeter of a square are equal then :**

(A) Area of the circle = Area of the square

(B) Area of the circle > Area of the square

(C) Area of the circle < Area of the square

(D) Nothing definite can be said about the relation between the areas of the circle and square.

**Q14. Area of the largest triangle that can be inscribed in a semi-circle of radius ‘****‘**** units is :**

(A) π² sq. units

(B) 12π² sq. units

(C) 2π² sq. units

(D) 2π² sq. units

**Q15. 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

### Class 10 Maths Chapter 12 MCQ Answer Key

Q.No. |
Ans. |
Q.No. |
Ans. |

1 |
B |
9 |
C |

2 |
B |
10 |
B |

3 |
D |
11 |
B |

4 |
B |
12 |
A |

5 |
A |
13 |
B |

6 |
C |
14 |
A |

7 |
D |
15 |
A |

8 |
A |