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)? PLEASE HELP <3

Answer 1

Explanation:

1. 1923.25

2.about 3846.5 yards

3.219.91

4.639.82

Answer 2

Answer: See below

Explanation:

1) 1/2 x 3.14 x 35^2

1/2 x 3.14 x 1225

1/2 x 3846.5

A = 1923.25 yd^2

2) (3.14)r^2

(3.14) (35)^2

3846.50 yd^2

3) P = d + (3.14)r^2

P = 70 + (3.14) (35)

P = 70 + 109.90

P = 179.90 yd

4) P = 2( l + w)

P = 2 (70 + 100)

P = 2 (170)

P = 340

Perimeter of the square minus the perimeter of the circle.

340 - 179.90 = 160.10 yd