I have a circle with a radius of 20in. Arc mEGF = 235(not shaded part of circle) find the area of arc EF (shaded sector of circle).

Question

My answer was 82.3 in^2
correct answer is 436.3 in^2
I need disrection on this one- I was really off on my answer.

Answer 1

To find the area of the shaded sector EF, first we need to find its central angle, and then use the formula to find the area.

1. Central angle of arc EF = 360 - 235 = 125 degrees
2. Area of entire circle = π * r^2 = π * (20 in)^2 = 400π in^2
3. Area of shaded sector EF = (125/360) * 400π in^2 ≈ 436.3 in^2

So the correct answer is approximately 436.3 in^2.