A central angle of 6 radians cuts off an arc of length 12 inches. Find the area of the sector formed.

Answer 1

radius is 2

whole circle area is 4π

[(2π-6)/2π]*4π is amount of area not included

area=4π-[4π-12)=12

It is sort of neat when r=2, arc length and area swept ou equal each other.

Answer 2

s = rθ; r = s/θ;

Area of sector A = 1/2r²θ = s²/(2θ) = 144/(12) = 12 inches²