Question

The angle of a sector in a given circle is 200 and the area of the sector is equal to 800 sq. cm. Find the arc length of the sector.

Answer 1

1/2 r^2 θ = 800
arc length s = rθ

Answer 2

A = pi r^2 (200 / 360) = 200
solve for r
then
circumference = 2 pi r
arc length = (200/360) * circumference

Answer 3

assuming that is 200°,

200/360 = θ/2π
θ = 2π(200/360) = 10π/9 radians

area of sector = r^2 θ
800 = r^2(10π/9)
r^2 = 9/10π (800) = 720/π
r = 15.139

arc length = r θ = 15.139(10π/9) = 52.844 cm