SOLUTION: Find the area to the nearest hundredth of a 10 degree sector in a circle with diameter of 12 centimeters.

Algebra ->  Circles -> SOLUTION: Find the area to the nearest hundredth of a 10 degree sector in a circle with diameter of 12 centimeters.      Log On


   

Question 278218: Find the area to the nearest hundredth of a 10 degree sector in a circle with diameter of 12 centimeters.
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area to the nearest hundredth of a 10 degree sector
in a circle with diameter of 12 centimeters

That's the red thing below that looks like a thin piece of pie:



The formula is A=%281%2F2%29theta%2Ar%5E2 if +theta+ is in radians.

So we first change +theta+ from degrees to radians:

theta=%2210%B0%22=%28%2210%B0%22%29%28pi%2F%22180%B0%22%29=pi%2F18

A=%281%2F2%29theta%2Ar%5E2

becomes

A=%281%2F2%29%28pi%2F18%29%2A12%5E2=+12.56637061 square units.

Edwin