Question

the inner circumference of a circular race track is 264 m and the width of the track is 7m calculate the cost of putting a fence along the outer circle of the track @ rupees 50/m

Answer 1

THE ANSWER IS RUPEES-15400

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Answer 2

The cost of putting a fence along the outer circle  is Rs.15400

Step-by-step explanation:

Circumference of circle = $2 \pi r$

We are given that inner circumference is 264 m

$2 \pi r = 264$

$2 \times \frac{22}{7} \times r = 264$

$r = 264 \times \frac{7}{2 \times 22}$

$r= 42 m$

So, Inner radius = 42 m

We are given that  the width of the track is 7m

So, Outer radius = 42+7 = 49 m

Outer circumference = $2 \pi r = 2\times \frac{22}{7} \times 49=308 m$

Cost of putting fence of 1 m = Rs.50

Cost of putting fence of 308 m = $50 \times 308 = 15400$

Hence the cost of putting a fence along the outer circle  is Rs.15400

#Learn more:

a race track in the form of ring whose inner circumference is 264 m and the outer circumference is 308 find the width of the track

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