Question

How do you find the area of a circle with a radius of 2 cm?

Answer 1

Hint: Here in this question we want to find the area of a circle and whose radius is 2 cm. To find the area we have a standard formula is $ A = \pi {r^2} $ , we know the value of $ \pi $ and the r is the radius that is mentioned in the question. We substitute and determine the area of a circle.

Complete step-by-step answer:
The circle is a two dimensional figure and we have to determine the area, where area is the region or space occupied by the circular field. To determine the area of a circle we have the standard formula $ A = \pi {r^2} $ . r represents the radius; the radius of a circle is the which joins the centre of the circle to any point on the circle or to the circumference. . The radius is denoted as ‘R’ or ‘r’. The unit for the area is $ c{m^2} $ or $ {m^2} $ .
To find the area of a circle we use formula $ A = \pi {r^2} $ . The radius of the circle is given as
2 cm.
By substituting we have
 $
  A = \pi {(2)^2} \\
   \Rightarrow A = \pi (4) \\
   \Rightarrow A = 4\pi \;c{m^2} \;
  $
Therefore the area of circle with a radius 2 cm is $ 4\pi \;c{m^2} $
We can substitute the value of $ \pi $ to the area and we can simplify further.
Substitute the value of $ \pi $ we have
 $
   \Rightarrow A = 4\left( {\dfrac{{22}}{7}} \right)\;c{m^2} \\
   \Rightarrow A = \dfrac{{88}}{7}\;c{m^2} \;
  $
On further simplification
 $ \Rightarrow A = 12.571\;c{m^2} $
Hence the area of a circle whose radius is 2 cm is $ A = 12.571\;c{m^2} $
So, the correct answer is “ $ A = 12.571\;c{m^2} $ ”.

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. The radius is denoted by r or R. the unit of area is $ \;c{m^2} $ or $ {m^2} $ .