Question:

Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. ( = 3.14 )

Answer:

Given radius of circle , r = 10cm
Measure of an arc of the circle , = 54˚
= 3.14
Area of sector , A = (/360)r2
A = (54/360)×3.14×102
= (9/60)×3.14×100
= 47.1cm2
Hence area of the sector is 47.1cm2

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