Question

Area of sector................................

Answer 1

A ≈ 25.1 cm²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`((4\pi )/(9) )/(2\pi )`

= π × 6² ×
`((4\pi )/(9) )/(2\pi )`

= 36π ×
`((4\pi )/(9) )/(2\pi )`

= 18 ×
`(4\pi )/(9)`

= 2 × 4π

= 8π

≈ 25.1 cm² ( to the nearest tenth )