**MCQs Questions for Class 10 Maths Chapter 12 Area Related to Circles**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 10
Maths Chapter 12 Area Related to Circles**

**1.** 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.

**Answer: B**

**2.** The perimeter of a sector of
a circle whose central angle is 90° and radius 7 cm is

(A) 35 cm

(B) 25 cm

(C) 77 cm

(D) 7 cm

**Answer: B**

**3. **If the area of the circle is
154 cm^{2}, then the radius of the circle is

(A) 7 cm

(B) 14 cm

(C) 3.5 cm

(D) 17.5 cm

**Answer: A**

**4.** Area
of the largest triangle that can be inscribed in a semi-circle of radius *r *units,
in square units is:

(A)
r^{2}

(B)
1/2r^{2}

(C)
2 r^{2}

(D)
√2r^{2}

**Answer: A**

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

(A) 3 cm

(B) 3.5 cm

(C) 3.66 cm

(D) 3.8 cm

**Answer: C**

**6. **The area of a circle that can
be inscribed in a square of side 10 cm is

(A) 40Ï€ cm²

(B) 30Ï€ cm²

(C) 100Ï€ cm²

(D) 25Ï€ cm²

**Answer: D**

**7.** 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

**Answer:
B**

**8.** 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

**Answer:
A**

**9. **The perimeter of a square
circumscribing a circle of radius Î± units is

(A) 2Î± units

(B) 4Î± units

(C) 8Î± units

(D) 16Î± units

**Answer:
C**

**10.** 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:
A**

**11.** 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

**Answer:
C**

**12. **If the perimeter of a sector
of radius 5.2 cm is 16.4 cm, then the area of the sector is

(A) 31.2 cm²

(B) 15 cm²

(C) 15.6 cm²

(D) 16.6 cm²

**Answer:
C**

**13.** 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)
642 cm^{2}

(D)
64 cm^{2}

**Answer: B**

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

(A) 11 cm²

(B) 38.5 cm²

(C) 22 cm²

(D) 77 cm²

**Answer: B**

**15. **If the radius of a circle is
doubled, its area becomes

(A) 2 times

(B) 4 times

(C) 8 times

(D) 16 times

**Answer: B**

**16.** 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**

**17.** The length of the minute
hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is

(A) 153.9 cm²

(B) 102.6 cm²

(C) 51.3 cm²

(D) 205.2 cm²

**Answer: C**

**18. **The radius of sphere is r cm.
It is divided into two equal parts. The whole surface area of two parts will be

(A) 8Ï€r² cm²

(B) 6Ï€r² cm²

(C) 4Ï€r² cm²

(D) 3Ï€r² cm²

**Answer: B**

**19.** The
wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must
the wheel make so as to keep a speed of 66 km/h?

(A)
300

(B)
400

(C)
450

(D) 500

**Answer:
D**

**20.** 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:
C**