a man running on a circular track at the rate of 100m per minute and makes an angle of 56°at the centre in 56 second .Find the circumference of the circular track.
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a man running on a circular track at the rate of 100m per minute and makes an angle of 56°at the centre in 56 second .Find the circumference of the circular track.
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If a man runs 56° in 56 seconds,
⇒ He is running at 1° in 1 second
His speed is 100m/60sec
In 60 seconds, He runs 100m
⇒ In 1 second he runs 100/60 m = 10/6 or 5/3 m
⇒ 1° is covered for every 5/3mtrs
A Circle has 360°
360° is covered for every 5/3 × 360° = 5 × 120 = 600m
Circumference of the circular track = 600mtrs
Verified answer
Answer:
circumference = 600 m
Step-by-step explanation:
56° in 56 seconds
360° in x seconds
x = 360 seconds
100 m in 1 minute
x m in 6 minutes
x = 600 m