Question

A racetrack is in the form of a ring. The inner circumference of the race track is 352m and the outer circumference is 396m. Find the width of the track.

Answer 1

Answer:

7 m

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Step-by-step explanation:

Inner circumference = 352 m

Circumference = 2πr

352 = 2πr

352 = 2 × 22/7 × r

352 = 44/7 × r

352 × 7 / 44 = r

8 × 7 = r

56 m = r....(1)

Outer circumference = 396 m

Circumference = 2πR

396 = 2πR

396 = 2 × 22/7 × R

396 = 44/7 × R

396 × 7 / 44 = R

9 × 7 = R

63 m = R....(2)

Width of track = R - r

Width = 63 - 56

Width = 7 m