Question

This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide

1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)?

Answer 1

Given : The high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide.

The school decided to cover the semicircles with grass to create a space for stretching and other activities.

To Find: area of one of the semicircles at either end of the track

How many square yards of grass will the school need to cover the entire circle?

Solution:

Diameter of semicircle = 70 yards

Radius of semicircle = 70/2 = 35 yards

Area of semicircle at one end = (1/2)πr²

= (1/2)(22/7)35²

= 1,925 sq yards

area of one of the semicircles at either end of the track = 1,925 sq yards

square yards of grass will the school need to cover the entire circle

= 2 x   1,925

= 3850 sq yards

distance around one of the semicircles at either end of the soccer field = πr  = (22/7) 35 = 110 yards

distance around the inner lane of the track  = 100 + 100 + 110 + 110

= 420 yards

Learn More:

Jawaharlal Nehru Stadium in New Delhi is conducting the annual ...

https://brainly.in/question/31930961

. In about four (4) lines describe how to determine the area and ...

brainly.in/question/18731780

Calculate the area and perimeter of the following rings where a ...

brainly.in/question/19069616