The radii of inner and outer circumferences of a circular-running-track are 63m and 70 m respectively Find:
1) the area of track
2) the difference between the lengths of the two circumferences of the track
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Answer:
Outer radius, r1 = 70 m
Inner radius, r2 = 63 m
∴ Area of track = πr12 - πr22
= 22/7[(70)2 – (63)2]
= 22/7(70 + 63)(70 – 63)
= 22/7 × 133 × 7
= 2926 m2
Length of outer edge i.e. circumference
= 2 πr1
= 2 × 22/7 × 70 = 440 m
Length of inner edge = 2 πr2
= 2x 22/7 x 63 = 396 m
Difference between lengths of two circumferences = 440 – 396 = 44 m
Hence (i) 2926 m2 (II) 44m
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