Area Related To Circles

15 Questions | Total Attempts: 1295  Settings  Who found mathematics a fun subject? Well if you did, this quiz is all about areas of a circle, solving the mathematical problems related to circles with the use of formulas. How well versed are you with it? Lets find out below!

• 1.
A sector is cut from a circle of radius 21 cm. The angle of sector is 150°. The area of sector is:
• A.

577.5 cm2

• B.

288.2 cm2

• C.

155 cm2

• D.

152 cm2

• 2.
The area of the sector of a circle of radius r and central angle θ is:
• A.

θπr/360°

• B.

2θπr2/720°

• C.

2θπr/360°

• D.

θπr2/720°

• 3.
An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2. The radius of circle is:
• A.

1 cm

• B.

5 cm

• C.

8 cm

• D.

10 cm

• 4.
A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. The area of major segment is:
• A.

25 cm2

• B.

103.57 cm2

• C.

235.7 cm2

• D.

260.7 cm2

• 5.
A horse is tied to a pole with 56 m long string. The area of the field where the horse can graze is:
• A.

2560 m2

• B.

2664 m2

• C.

9856 m2

• D.

25600 m2

• 6.
The circumferences of two circles are in the ratio 2 : 3. The ratio of their areas is:
• A.

4 : 9

• B.

2 : 3

• C.

7 : 9

• D.

4 : 10

• 7.
The minute hand of a clock is 21 cm long. The area described by it on the face of clock in 5 minutes is:
• A.

211.5 cm2

• B.

123.5 cm2

• C.

115.5 cm2

• D.

112.5 cm2

• 8.
Area enclosed between two concentric circles is 770 cm2. If the radius of outer circle is 21 cm, then the radius of inner circle is:
• A.

12 cm

• B.

13 cm

• C.

14 cm

• D.

15 cm

• 9.
The perimeter of a semi-circular protector is 72 cm. Its diameter is:
• A.

36 cm

• B.

28 cm

• C.

24 cm

• D.

14 cm

• 10.
The length of an arc subtending an angle of 72° at the center is 44 cm. The area of the circle is:
• A.

2850 cm2

• B.

3850 cm2

• C.

4850 cm2

• D.

5850 cm2

• 11.
The area of the circle circumscribing a square of area 64 cm2 is:
• A.

25.5 cm2

• B.

50.28 cm2

• C.

75.48 cm2

• D.

100.57 cm2

• 12.
An athletic track, 14 m wide, consists of two straight sections 120 m long joining semicircular ends whose inner radius is 35 m. The area of the track is:
• A.

3360 cm2

• B.

3696 cm2

• C.

7056 cm2

• D.

7210 cm2

• 13.
The areas of two circular fields are in the ratio of 16 : 49. If the radius of the bigger circle is 14 cm, then the radius of smaller circle is:
• A.

5 cm

• B.

8 cm

• C.

10 cm

• D.

12 cm

• 14.
Find the area of a ΔABC with ∠ACB = 120o & CA = CB = 18 cm.
• A.

81 cm2

• B.

140.3 cm2

• C.

190 cm2

• D.

203.6 cm2

• 15.
The area of the sector AOB of angle 120o and radius 18 cm is:
• A.

339.43 cm2

• B.

403.29 cm2

• C.

419.52 cm2

• D.

393.63 cm2 Back to top