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Question
The radius of a circle is 10 cm. The measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (\[\pi\]= 3.14 )
Solution
Radius of the circle, r = 10 cm
Measure of the arc, θ = 54º
∴ Area of the sector = \[\frac{\theta}{360° } \times \pi r^2 = \frac{54° }{360° } \times 3 . 14 \times \left( 10 \right)^2\] = 47.1 cm2
Thus, the area of the sector is 47.1 cm2.
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