Question

(34) John had a beautiful garden in the form of a quadrant of radius 7m as shown. He wanted to fence it to protect the flowers. Find the length of wire required to fence it completely.​

Answer 1

Given,

The radius of the quadrant in meters$\[ = 7\]$

To find,

The length of wire required to fence it completely.

Solution,

Know that the formula for the perimeter of a quadrant of a circle whose radius r is $\[\left( {\frac{\pi }{2} + 2} \right)r.\]$

Therefore, the length of wire required to fence it completely is

$\[\begin{array}{l} \Rightarrow \left( {\frac{\pi }{2} + 2} \right) \times 7\\ \Rightarrow \left( {1.5708 + 2} \right) \times 7\\ \Rightarrow 3.5708 \times 7\\ \Rightarrow 24.99 \approx 25\end{array}\]$

Hence, the length of wire required to fence it completely is $\[25\]$m.