A circular grass plot 17ft in diameter is cut by a straight gravel path 4 ft wide , one edge of which passes through the center of the plot.

Question

A circular grass plot 17ft in diameter is cut by a straight gravel path 4 ft wide , one edge of which passes through the center of the plot. What is the number of square feet in the remaining grass area?

Answer 1

Is the gravel path entirely inside the circular grass plot or does it extend outside of it?

 

Assuming the former, because the latter requires more info and is much worse.

 

The area of the circular grass plot is pi * (8.5) * 8.5 = 226.98 because the diameter is 17, so the radius is 8.5

 

The area of the gravel path is 17 x 4 = 68.

 

So the remaining grass area is 226.98 - 68 = 158.98