Question

The shaded sector is inside a central angle of 30° , in a circle of radius 5. Find its exact area

Answer 1

A =
`(25)/(12)` π units²

Explanation:

the area (A) of a sector is calculated as

A = area of circle × fraction of circle

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

= π × 5² ×
`(1)/(12)`

= 25π ×
`(1)/(12)`

=
`(25)/(12)` π units²