A 12 x 2 rectangle sits inside a circle with a radius of 8. What is the area the shaded region?

Question

What is the area of the shaded region?
Round your final answer to the nearest hundredth.

 

Answer 1

Hi Kaili,

 

Is the shaded area what is left outside the rectangle and bounded by the circle? If so,

 

find the area of the rectangle = 12*12 = 144 unit^2

the area of the circle = pi*r^2 = 3.14*8^2 = 201.06 unit^2 (rounded to the nearest hundredth)

then the "shaded area" is the difference 

201.06 - 144 = 57.06 unit^2