Question

A running track has two straight sides of length 110 m each and two semicircular ends of equal radii. If the length of the track is 440 m, find the radius of each semicircle.

The answer should be 35 m. How should I do it?

Answer 1

Answer:

35 yds

Step-by-step explanation:

Assumed that the question meant that the running track has 2 straights line of 110m and semicircle on both ends.

Find the length of the 2 semi-circle:

Length = 440 - 110 - 110 = 220 yd

Find the radius:

Circumference = 2πr

2πr = 220

r = 220 ÷ 2π

r = 35 yd

Answer: The radius is 35 yds

Answer 2

Answer:

35 m

Step-by-step explanation:

Given, length of straight sides = 110 m.

Given, length of the track = 440 m.

∴ Perimeter of semi-circular ends = length of track - 2(straight side length)

⇒ 2πr = 440 - 2(110)

⇒ 2 * (22/7) * r = 440 - 220

⇒ 2 * (22/7) * r = 220

⇒ 44 * r = 1540

⇒ r = 35 m.

∴ Radius of each semicircle = 35 m.

Hope it helps!