Matilda is planning a walk around the perimeter of Wedge Park, which is shaped like a circular wedge. The walk around the park is 2.1 miles, and the park has an area of 0.25 square miles. If θ is less than 90 degrees, what is the value of the radius.

Question

Matilda is planning a walk around the perimeter of Wedge Park, which is shaped like a circular wedge. The walk around the park is 2.1 miles, and the park has an area of 0.25 square miles. If θ  is less than 90 degrees, what is the value of the radius.

bobpursley · Answer

area wedge= 2PI r^2*theta/360 where theta is in degrees perimeter= 2r+ theta/360 * 2PI r Can you take it from here?