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Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

Question

The cost of fencing a circular race course at the rate of ₹ 8 per metre is ₹2112.Find the diameter of the race course.

Given:

Cost of fencing the circumference = Rs 2112

Cost of fencing one metre is Rs 8

To Find :

Diameter of the base course

If cost of fencing one metre is Rs 8

Then circumference of the Circle be $\sf \dfrac{2112}{8} = 264$

$\sf= > \pi \: d = 264$

$\sf= > \dfrac{22}{7} \times d = 264$

$\sf= > d = 264 \times \dfrac{7}{22}$

$\sf= > 132 \times \dfrac{7}{11}$

$\sf = > 12 \times 7 = 84$

$\therefore$ Diameter of the race course is $\bold{\red{ 84 \:m }}$

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

Question

The cost of fencing a circular race course at the rate of ₹ 8 per metre is ₹2112.Find the diameter of the race course.

Given:

Cost of fencing the circumference = Rs 2112

Cost of fencing one metre is Rs 8

To Find :

Diameter of the base course

If cost of fencing one metre is Rs 8

Then circumference of the Circle be $\sf \dfrac{2112}{8} = 264$

$\sf= > \pi \: d = 264$

$\sf= > \dfrac{22}{7} \times d = 264$

$\sf= > d = 264 \times \dfrac{7}{22}$

$\sf= > 132 \times \dfrac{7}{11}$

$\sf = > 12 \times 7 = 84$

$\therefore$ Diameter of the race course is $\bold{\red{ 84 \:m }}$