11

Mathematics

Areas Related to Circles

674+ practice questions available

Sample Practice Questions

5 questions shown — tap “Show Answer” to check yours.

1
Medium

From a circular sheet of radius 14 cm, a sector of angle 90° is removed. The area of the remaining sheet is: (Use π = 22/7)

A462 cm²
B154 cm²
C616 cm²
D308 cm²
2
Medium

The area of a sector is 1/6 of the area of the circle. The sector angle is:

A60°
B90°
C120°
D45°
3
Hard

If the area of a sector is 231 cm² and the arc length is 22 cm, the radius of the circle is:

A21 cm
B14 cm
C7 cm
D42 cm
4
Hard

A circle of radius 14 cm has two chords AB and CD of equal length, each subtending 90° at the centre and on opposite sides. The area of the region between the two chords (double segment) is: (Use π = 22/7)

A112 cm²
B56 cm²
C308 cm²
D224 cm²
5
Hard

A circular arc of radius 7 cm has length equal to the circumference of a circle of radius 3.5 cm. The angle of the arc is: (Use π = 22/7)

A180°
B90°
C360°
D270°

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