Question

What would be the area of a circle with a radius of 5 inches?

Answer 1

Hint: To find the area of a circle with a radius of 5 inches we will use the Area of Circle formula which is $A=\pi {{r}^{2}}$. We will substitute the value of $r$ as 5 that is our radius in the Area of circle formula then we will put $\pi =\dfrac{22}{7}$ and simplify the value to get our answer.

Complete step by step solution:
We have to find the area of the circle with radius 5 inches.

The formula for Area of circle is:
$A=\pi {{r}^{2}}$……$\left( 1 \right)$
It is given that
$r=5$
$\pi =\dfrac{22}{7}$
Substituting above value in equation (1) we get,
$\begin{align}
  & \Rightarrow A=\dfrac{22}{7}\times {{5}^{2}} \\
 & \Rightarrow A=\dfrac{22}{7}\times 25 \\
 & \Rightarrow A=78.571 \\
 & \therefore A\approx 78.57i{{n}^{2}} \\
\end{align}$
Hence, the area of circle with radius 5 inches is $78.57i{{n}^{2}}$

Note: The term Circle used in the solution is a plane and closed geometric shape in which the outer line is equidistant from the center. That is why the distance from the point at center to any point in the outer line is always the same and that is known as radius of the circle. The term Area used in the solution states the region that is occupied by a circle in a two-dimensional plane. The unit of area is always a square unit such as $m^2$, $in^2$ etc. The basic use of area for a circle is to measure the space occupied by ii. Suppose if we have to buy a cloth the amount of area is required to get the exact cloth that will cover the circle or any given figure. We could substitute $\pi =3.14$ in the solution which will have a minor change after the decimal.