A circle with radius four has a sector with a central angle of 8/5 pi radians. what is area of the sector

area of sector = 40.192 unit²

Step-by-step explanation:

Area of a sector = ∅/360 * πr²

where

∅ = angle in degree

r = radius

Area of sector when ∅ = radian

area of a sector = 1/2r²∅

where

∅ = radian

r = radius

area of sector = 1/2 * 4² * 8/5 * π

area of sector = 1/2 * 16 * 8/5 * π

area of sector = 128/10 * π

area of sector = 12.8 * π

area of sector = 12.8 * 3.14

area of sector = 40.192 unit²