Question

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?

Answer 1

8πcm² = 8pi cm²

Explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²