Question

Find the area of the sector of the circle with central angle of 195° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.

Group of answer choices

23.81 cm2

166.68 cm2

27.86 cm2

83.34 cm2

Answer 1

A ≈ 83.34 cm²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(195)/(360)` ( r is the radius of the circle )

= 3.14 × 7² ×
`(13)/(24)` ( cancelling by 15 )

=
`(3.14(49)(13))/(24)`

≈ 83.34 cm² ( to the nearest hundredth )