if the area of the segment is 16p -32 square feet, what us the length of the radius of circle O?

Question

Area of a segment that is 16π - 32 square feet, how do I find the radius?

Answer 1

Area = 16pi-32= 16(pi-2)

Angle = A

radius = square root of (32pi-64)/A

if Angle A = 2pi (the full circle)

then radius = (32pi-64)/2pi = 16-32/pi=about 5.81 feet

Area = (1/2)r^2(pi-sinA)

area of the entire circle = pi(r^2)

Area = (1/2)r^2(pi-sin2pi) = (1/2)r^2(pi) =

area of a segment = (A/2pi)pi(r^2)

= (1/2)(r^2)A with A measured in radians

r^2 = (2/A)area

r = square root of (2/A)(area)

r = sqr[(2/A)(16)(pi-2)]

r= sqr[(32pi-64)/A]

I have to admit I get a headache looking at this question, as it seems cut off, with missing info, but for what it's worth here's an answer, for good or bad. at least an answer, no one else seems to have tried.