Question

the inner circumference of a circular accupressure track is 115m and width of the track is 5 m. find the cost of putting up a fence along the track at the rate of rs120

Answer 1

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The inner circumference of a circular acupressure track is 115 m and the width of the track is 5 m. What is the cost of putting up a fence along the outer circle of the track at the rate of ₹ 120 per meter?

Fence required for outer circle = circumference of the outer circle

Radius of inner circle = circumference of inner circle /(44/7)

Radius of inner circle = (115 *7)/44 [Circumference of circle = 2π * radius of circle]

Radius of inner circle = 18.3m

Radius of outer circle = Radius of inner circle + width of track

Radius of outer circle = 23.3m

Circumference of outer circle =( 2 *22*23.3)/7

Circumference of outer circle = 146.45m

Cost of putting fence along the outer circle of track = 146.45 * 120

Total cost required = 17574 rupees

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Answer 2

Fence required for outer circle = circumference of the outer circle

Radius of inner circle = circumference of inner circle /(44/7)

Radius of inner circle = (115 *7)/44 [Circumference of circle = 2π * radius of circle]

Radius of inner circle = 18.3m

Radius of outer circle = Radius of inner circle + width of track

Radius of outer circle = 23.3m

Circumference of outer circle =( 2 *22*23.3)/7

Circumference of outer circle = 146.45m

Cost of putting fence along the outer circle of track = 146.45 * 120

Total cost required = 17574 rupees

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