Question

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 82 m long and 53m wide. What is the length of a training track running around the field? (Use the value 3.14 and do not round your answer. Be sure to include the correct unit in your answer.)

Answer 1

436.42 m

Explanation:

We are to determine the perimeter of the field

perimeter = perimeter of rectangle + perimeter of the two semicircles

Perimeter of a rectangle = 2 x (length + breadth)

2 x (82 + 53) = 270m

Perimeter of a semicircle = 1/2πD

perimeter of the 2 semicircles = 2 x (1/2 x 3.14 x 53) = 166.42

Perimeter = 270 + 166.42 = 436.42 m