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Find the area of shaded region of circle with 14 diameter and 60°​

Find the area of shaded region of circle with 14 diameter and 60°​-example-1

1 Answer

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Answer:

A = 49pi/6

~= 25.656

Explanation:

The area of the whole circle can be found by A = pi•r^2

This is 49pi.

The central angle is 60° (Angle O in the image) This shows that the shaded region is 60°/360° or 1/6 of the circle.

Multiply 1/6 times the area of the whole circle to find the area of the shaded region.

A_sector

= 1/6•pi•r^2

= 1/6•pi•7^2

= 1/6•pi•49

= 49pi/6 Exact Answer

~= 25.656 Rounded to the nearest thousandth

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