Question

Find the area of the circle whose radius is $4cm$?

Answer 1

Hint: For solving this question we just need the formula for the area of the circle and it is given by $\pi {r^2}$. Since we have the values for the radius so we will substitute the value and solve for it, then we will easily get the area of the circle on solving it.

Formula used:
Area of circle,
$A = \pi {r^2}$
Here,
$A$, is the area
$r$, is the radius of the circle

Complete Step by Step Solution:
So we have the radius value given as $4cm$.
As from the formula we know that the radius of the circle is given by $\pi {r^2}$
Therefore, substituting the values, we will get the equation as
$ \Rightarrow A = \dfrac{{22}}{7} \times {4^2}$
Now on solving the above equation we will get the equation as
$ \Rightarrow A = \dfrac{{22}}{7} \times 16$
Therefore, on multiplying we will get the equation as
$ \Rightarrow A = \dfrac{{352}}{7}$
And on dividing it, we get
$ \Rightarrow A = 50.28c{m^2}$

Therefore, the area of the circle whose radius is $4cm$ will be $50.28c{m^2}$.

Note:
Here in this question, we have taken the value of $\pi $ as $\dfrac{{22}}{7}$ and we can also take the value of it as $3.14$. But if there will be any specific value given in the question, then we will use that value only otherwise any one of them.