Question

Find the area of a circle with radius, r =

7.4m.
Give your answer rounded to 2 DP.
r
C
The diagram is not drawn to scale.

Answer 1

To calculate the radius of this circle, we must take into account that:

Data:

• R = 7.4
• π = 3.14

To calculate the area of the circle, we apply the following formula:

• A = π * r², where

a = area

π = pi

r = radius

Substituting the values of the equation:

• 
  `\large\displaystyle\text{$\begin{gathered}\sf A=3.14*(7.4 \ m)^(2) \end{gathered}$}`

Taking the square root

• 
  `\large\displaystyle\text{$\begin{gathered}\sf A=3.14*54.76 \ m^(2) \end{gathered}$}`

Multiplying

• 
  `\boxed{\large\displaystyle\text{$\begin{gathered}\sf A=171.95 \ m^(2) \end{gathered}$}}`

Answer: The approximate area of the circle is 171.95 m².

Answer 2

172.03 m²

Explanation:

Hello!

Area of a circle:
`A = \pi r^2`

• A = area
• π = pi
• r = radius

Plug in the radius into the formula to find the area.

Find the Area

• 
  `A = \pi r^2`
• 
  `A = \pi (7.4)^2`
• 
  `A = 54.76\pi`
• 
  `A = 172.0336137106 \approx 172.03`

The area is approximately 172.03 m².