racetrack is in the form of ring whose inner circumference is 264 metre and the outer circumference is 308 find the width of the track
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Step-by-step explanation:
width of track is 7 m
race track is in the form of ring whose inner circumference is 264m and outer circumference is 308m.
let radius of inner circumference of ring is r and outer circumference is R. then width of tack must be (R - r).
so, inner circumference = 2πr = 264 m ......(1)
outer circumference = 2πR = 308 m .....(2)
subtracting equation (1) from (2),
2πR - 2πr = 308 - 264
⇒2π(R - r) = 44
⇒2 × 22/7 × width of track = 44
⇒ width of track = 44/(44/7) = 7 m
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