Question

A primary school has a running track.

it has two straights of 50 metres.
also there are two bends that are semicircles with diamter 30 metres
work out the distance around the running track​

Answer 1

Distance around the track = 194.3 metres.

Explanation:

Given: The two straight sides are of the track are 50 metres each

Diameter of each bend = 30 metres

Thus;

radius of the bends =
`(diameter)/(2)`

=
`(30)/(2)`

= 15 metres

So that,

length of the semicircular bend =
`(1)/(2)` x 2
`\pi`r

=
`\pi`r =
`(22)/(7)` x 15

= 47.143

length of each semicircular bend is 47.14 metres.

Distance around the track = addition of the length of each straight sides + addition of the length of the bends

= 50 + 50 + 47.14 + 47.14

= 194.28

Therefore,

Distance around the track = 194.3 metres.