Find the area of each sector.

Question

asked Aug 25, 2022 7.4k views

1 Answer

Tony Aziz · Answer 1 · 2022-09-01T01:45:28+0000

Answer:

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 =
$(525\pi)/(8)$