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What is the area of the shaded sector?

What is the area of the shaded sector?-example-1

1 Answer

2 votes

Answer:

C

Explanation:

The central angle is equal to the arc that subtends it, that is 54°

area of sector = area of circle × fraction of circle

A = πr² ×
(54)/(360)

= π × 10² ×
(3)/(20)

= 100π ×
(3)/(20) ( cancel 20 and 100 )

= 5π × 3

= 15π cm² → C

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