Question

The diameter of a circle is 4 m. Find its area in terms of piπ.
Answer
Attempt 1 out of 2

A, equalsA=
m, squared m
2

Answer 1

To find the area of a circle, we use the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle.

Since the diameter of the circle is given as 4 m, we can find the radius by dividing the diameter by 2:

\[
r = \frac{diameter}{2} = \frac{4 \, m}{2} = 2 \, m
\]

Now, we can substitute the radius back into the area formula:

\[
A = \pi (2 \, m)^2 = \pi (4 \, m^2) = 4\pi \, m^2
\]

Thus, the area of the circle in terms of \( \pi \) is:

\[
A = 4\pi \, m^2
\]