Question

Find the area of each sector.

Answer 1

D.
`(525\pi)/(8)` m²

Explanation:

Area of the sector = ½*r²∅

Where,

Radius (r) = 15 m

Angle in radians (∅) =
`(7\pi)/(12)`

Plug in the values into the equation

Area of sector =
`(1)/(2) * 15^2 * (7\pi)/(12)`

Area of sector =
`(1)/(2) * 225 * (7\pi)/(12)`

Area of sector =
`(1*225*7\pi)/(2*12)`

Area of sector =
`(1,575\pi)/(24)`

Simplify

Area of sector =
`(525\pi)/(8)`