SOLUTION: Find the area of the sector of a circle with radius 6 yards formed by a central angle of 13π/9 radians. Give your answer correct to 3 decimal places ? square yards

Algebra ->  Angles -> SOLUTION: Find the area of the sector of a circle with radius 6 yards formed by a central angle of 13π/9 radians. Give your answer correct to 3 decimal places ? square yards      Log On


   

Question 1172656: Find the area of the sector of a circle with radius 6 yards formed by a central angle of 13π/9 radians. Give your answer correct to 3 decimal places
? square yards
Answer by ikleyn(52925) About Me  (Show Source):
You can put this solution on YOUR website!
.

The area of a sector is equal


    area = %281%2F2%29%2Ar%5E2%2Aalpha 


where  r  is the radius and  alpha  is the central angle, in radians.


So, substitute the given numbers and calculate.


You are very lucky, since in this problem, the angle is just given to you in radians, 
so you DO NOT NEED to convert it from the degree measure to radians (!)

Having my instructions, boldly go forward (!)