Question

The circle has center O. Its radius is 6 m, and the central angle a measures 50°. What is the area of the shaded region?

Give the exact answer in terms of 1, and be sure to include the correct unit in your answer.
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Answer 1

5π m²

Explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(50)/(360)` ( r is the radius )

= π × 6² ×
`(5)/(36)`

= 36π ×
`(5)/(36)` ( cancel the 36 on numerator/ denominator )

= 5π m²