# Thread: area of a sector

1. ## area of a sector

The area of a sector in a circle of radius 6 inches is 48 square inches. Find the measure of the central angle to the nearest tenth of a degree.

A= 1/2 thata r^2

so then I say

48=1/2 thata 6^2

48=1/2 thata 36
48=18 thata

48/18 = thata

the answer is suppose to be 152.8 I cannot get this answer I think that I need a pi symbol so that i can turn radians into degrees cuz thata needs to be in terms of radians. Please help I am stuck.

2. Your answer is correct in radians. To convert to degrees, multiply by $\displaystyle \frac{180}{\pi}$. Also, it's spelled "theta."

3. Originally Posted by icemanfan
Your answer is correct in radians. To convert to degrees, multiply by $\displaystyle \frac{180}{\pi}$. Also, it's spelled "theta."
Thanks I really thought that I had tried thank you for the help.