Question

Find the area of each shaded sector, round to the nearest hundredth

Answer 1

A ≈ 634.21 m²

Explanation:

note that the complete angle at the centre of the circle is 360°

central angle of shaded sector = 360° - 37° = 323°

the area (A) of the shaded sector is calculated as

A = area of circle × fraction of circle

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

= π × 15² ×
`(323)/(360)`

= 225π ×
`(323)/(360)`

=
`(\pi (225)(323))/(360)`

≈ 634.21 cm² ( to the nearest hundredth )