SOLUTION: The sector of a circle with a 60 millimeters radius has a central angle measure of 30° . What is the exact area of the sector in terms of ​ π ​ ?

Algebra ->  Circles -> SOLUTION: The sector of a circle with a 60 millimeters radius has a central angle measure of 30° . What is the exact area of the sector in terms of ​ π ​ ?      Log On


   



Question 1083852: The sector of a circle with a 60 millimeters radius has a central angle measure of 30° .
What is the exact area of the sector in terms of ​ π ​ ?

Answer by ikleyn(53369) About Me  (Show Source):
You can put this solution on YOUR website!
.
The area of this sector is 30%2F360 = 1%2F12 part of the entire/whole circle area.


The circle area is pi%2Ar%5E2 = pi%2A60%5E2 square millimeters.


Hence, the sector area is 1%2F12 of it, i.e. %281%2F12%29%2A60%5E2%2Api = %283600%2F12%29%2Api = 300%2Api square millimeters.