Q:

Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m

Accepted Solution

A:
we know that
[Area of a circumference]=pi*r²
for r=18.8 m
Area=pi*18.8²=1109.80 m²

if the area for 2pi radians (full circumference) is --------------> 1109.80 m²
                  for 2pi/15----------------------------------> X
X=(2pi/15)*1109.80/2pi----------> 73.99 

the answer is 73.99 m²