Question

The diameter of a circle is \[14\,ft\]. What is the area of the circle?

Answer 1

Hint: In this question, first we will find the radius of the circle. Radius of the circle is half of diameter. So, we have to divide the diameter by two to get the radius. Then, we have to apply the formula of the area of a circle to find its area. The formula for the area of the circle is $\pi {r^2}$.

Formula used:
Area of Circle $ = \,\pi {r^2}$

Complete step by step answer:
In the above question, first we have to find the radius of the circle.

We know that,
Radius $ = \,\dfrac{\text{Diameter}}{2}$
Therefore,
$\text{Radius} = \,\dfrac{{14}}{2}$
$\text{Radius} = \,7\,ft$
Now, we will find the area of the circle using the formula of its area.So,
$\text{Area of circle} = \,\pi {r^2}$
We know that the value of $\pi \,\,is\,\,3.14$.Therefore,
$\text{Area of circle} = \,3.14{\left( 7 \right)^2}$
$ \Rightarrow \text{Area of circle} = 3.14 \times 49$
$ \therefore \text{Area of circle} = 153.86\,sq.\,feet$

Hence, the area of the circle is $153.86\,sq.\,feet$.

Note: A circle is a closed two-dimensional figure. Generally, the area is the region occupied by the thing. The area of a circle is defined as the region occupied by the circular region. It can be determined by using formula $A = \pi {r^2}$ , where r is the radius of the circle. We can also find the circumference of the circle using the formula $\text{Perimeter} = \,2\pi r$. Circumference is also called the length of the circle.