# The field inside the following 400 yd. running track is to be mowed. Each straight portion of the track is 100 yd. Each curved part of the track is.......a semicircle and has a diameter of 31.8 yd....

The field inside the following 400 yd. running track is to be mowed. Each straight portion of the track is 100 yd. Each curved part of the track is...

....a semicircle and has a diameter of 31.8 yd. Determine the area that will be mowed to the nearest square yard.

najm1947 | Student

There is a typo error in annswer at 1 which is corrected as under

Two semi-circular portions of 31.8 yard diameter and two straight portions of 100 yard make the track about 300 yards long. However, if the two semi-circular portions are of 31.8 yard radius then the track length is about 400 yards.

najm1947 | Student

Two semi-circular portions of 31.8 yard diameter and two straight portions of 100 yard make the track about 300 yards long. However, if the two semi-circular portions are of 31.8 yard radius then the track length is about 300 yards.

In this case the area to be mowed consists of a rectangle with sides as 2*31.8yard & 100yard and two semi-circles with radius 31.8yard.

The total area of the filed = 2*31.8*100+pi*31.8^2 = 9537 sq.yd.

The area of the field to be mowed is about 9537 square yards