Question

find the radiua of the circular garden whose cost of fencing is Rs.30800 at the rate of Rs.40 per metre

Answer 1

cost of fencing is Rs.30800 at the rate of Rs.40 per metre
so perimeter is 30800/40=770m

perimeter of circle = 2*22/7*radius
                770            =44/7 * radius
radius= [770*7/44]
radius=122.5m

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Answer 2

The radius of the circular garden is 122.5 meter.

Step-by-step explanation:

Let radius of the circular garden is r.

Fencing is equal to circumference of the circle.

$Circumference=2\pi r$

where, r is radius and $\pi=\frac{22}{7}$.

The rate of Rs.40 per meter.

Total cost of fencing is

$Cost=40(2\pi r)=40(2\times \dfrac{22}{7}\times r)=\dfrac{1760}{7}r$

It is given that cost of fencing is Rs.30800.

$\dfrac{1760}{7}r=30800$

$r=30800\times \dfrac{7}{1760}=122.5$

Therefore, the radius of the circular garden is 122.5 meter.

#Learn more

Find the radius of circle if the circumferences is 154cm.

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