Question

The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at each end.

Answer 1

Find out the area of the running track that goes around the field .

Explanation:

Answer 2

Explanation:

Find out the area of the running track that goes around the field .

To proof

Formula

Area of rectangle = length× breadth

area of running track = outside area - inside area

First case ( outside )

length = 73 + 2 × 9.76

= 92.52m

Breadth = 84.39 m

radius of outside semi circle

=46.26m

outside area = area of rectangle + 2× area of the semi- circle

= 92.52× 84.39 + 3.14× 46.26 ×46.26

= 7807.76+ 6719.56

= 14527.32 m² ( approx)

Second case

radius of the semi- circle

=36.5m

inside area = area of rectangle + 2× area of the semi- circle

= 73× 84.39 + 3.14× 36.5 ×36.5

= 6160.47 + 4183.27

= 10343.74m²

area of running track= 14527.32 m² - 10343.74m²

= 4183.58m²

Hence proved