Question

a sector with the central angle measure of 4pi/5 (in radians) has a radius of 5 cm. What is the area of the sector? PLS HELP :(

Answer 1

Area of the sector = 31.42 cm²

Explanation:

Formula for the area of a sector is,

Area =
`(\theta)/(2\pi )(\pi r^(2) )`

Here θ = central angle subtended by the arc (in radians)

r = radius of the circle

Now substitute the values given in the formula,

Area of the sector =
`((4\pi )/(5))/(2\pi )* \pi (5)^2`

=
`(4\pi )/(10\pi ) * (25\pi)`

=
`(100)/(10)* \pi`

= 10π

= 31.416

≈ 31.42 cm²