Mensuration Practice Test 2

Question : 11 of 40

Marks: +1, -0

The area of a sector of a circle is 77 sq. cm and the angle of the sector is 45°, Find the radius of the circle.

Solution:

Area of the sector of a circle = 77 sq. cm.
Angle of the sector = 45°
Area of the circle =

{45°}/{360°} ×{22}/7 × r^2

= 77

1/8 × {22}/7× r^2

= 77

r^2

{77×7×8}/{22×1}

r^2

= 196
r = 14 cm

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