Question

How do you find the circumference and area of a circle with diameter 12 inches?

Answer 1

Hint:Circumference of the circle, $C = 75.36inch$
Area of the circle, $A = 113.04inc{h^2}$
Use the following formulas:
Circumference of a circle is given by ,$C = 2\pi r$ and Area of the circle is given by, $A = \pi {r^2}$ Where ‘r’ is the radius of the circle.
Complete step by step answer
According to the given question we are required to find the circumference and area of the circle whose diameter is given to be 12 inches.
Therefore , $r = \dfrac{d}{2}$ where ‘d’ is the diameter of the circle
So we get, $r = \dfrac{{12}}{2} = 6inches$
To find the circumference;
Let ‘C’ be the Circumference of the circle
Therefore , $C = 2\pi r$
Substituting the value of r in the above equation we get,
$ \Rightarrow C = 2\pi (6)$
(using $\pi = 3.14$ )

After solving the equation,
$C = 75.36$ inches .
To find the area of the circle
Let ‘A’ be the area of the circle which is given by, $A = \pi {r^2}$
Therefore, $A = \pi {(r)^2}$
After putting the values of ‘r’ and $\pi = 3.14$ in the above equation, we get
Area, $A = 113.04$ inch sq.
Note- The circumference of the circle refers to the perimeter of the circle which would be the arc length of the circle, as if it were opened up and straightened out to a line segment. Area of the circle is the region occupied by the circle in a two-dimensional plane.