in the following figure shows a circular track whose inner circumference is 220 metre if the track has uniform width of 7 metres find the area of circular track
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Hey mate ,
Circumference = 2πr
Given ,
Inner Circumference = 220
2πr = 220
r =(220×7 )/ (22×2)
r = 5×7
r = 35 meter
Width = 7m
Thus outer radius = 35+7 = 42 meter .
Area of circular track = Area of ring = Area of outer circle - Area of inner circle
= π(R^2 - r^2 )
= π ( 42^2 - 35^2 )
= π ( 42-35)(42+35) [ a^2 - b^2 = (a+b) (a-b) ]
= 22/7 × 7 × 77
= 22×7×11
= 1694 cm^2 = Area of circular track
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