Mensuration Practice Test 8

Question : 40 of 40

Marks: +1, -0

In a circle of radius 21 cm, an arc subtends with an angle of 90° at the centre. Find the length of the arc and the area of the sector so formed.

Solution:

Length of an arc =

θ/{360°} × 2πr

{90°}/{360°} × 2 × {22}/7 × 21

= 33 cm
Area of the sector =

{90}/{360°} πr^2

{90°}/{360°} × {22}/7 × 21 × 21

= 346.5 cm

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