Question

Mehul wants to fence a circular garden of diameter 35 m. Find the cost of fencing it at the rate of 10

per meter. (Take =





)​

Answer 1

Answer:

Total cost to fence the circular garden = ₹1100

Step-by-step explanation:

Given :

Diameter = 35 m

Rate per meter of the fence = ₹10

To find :

Total cost to fence the circular garden

Concept :

To find the cost of fencing the circular garden first find the circumference of the circular garden.

Formula to find circumference is -:

$\boxed{\tt{C=2\:\pi\:r}}$

Where,

C = Circumference

r = Radius

Here , radius is the half of the diameter or the length from center of the circle to any point of the circle . In this question we will take the radius as $\tt{\dfrac{35}{2}}$ .

After we will get the circumference of the circle multiply the cost per meter with the circumference of the circle.

Solution :

$:\Rightarrow\tt{C=\cancel{2}\times\dfrac{22}{\cancel{7}}\times\dfrac{\cancel{35}}{\cancel{2}}}$

$:\Rightarrow\tt{C=22\times5}$

$:\Rightarrow\tt{C=110m}$

So , the circumference of the circle is 110 m .

Total cost to fence the circular garden -:

$:\Rightarrow\tt{T=110m\times\:Rs.10}$

$:\Rightarrow\tt{T=Rs.1100}$

So , the total cost to fence the circular garden is ₹1100 .