Question
Find the Area of the circle if the given radius is 3 cm in terms of pi and with an estimated area.
Answers
GPT-4o mini
To find the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle.
Given that the radius is \( 3 \) cm, we can substitute this value into the formula:
\[
\text{Area} = \pi (3)^2 = \pi \times 9 = 9\pi \, \text{cm}^2
\]
So, the area of the circle in terms of \(\pi\) is \( 9\pi \, \text{cm}^2\).
To estimate the area, we can use the approximate value of \(\pi \approx 3.14\):
\[
\text{Estimated Area} \approx 9 \times 3.14 = 28.26 \, \text{cm}^2
\]
Thus, the area of the circle is \( 9\pi \, \text{cm}^2\) in terms of \(\pi\), and approximately \( 28.26 \, \text{cm}^2\) as an estimated area.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle.
Given that the radius is \( 3 \) cm, we can substitute this value into the formula:
\[
\text{Area} = \pi (3)^2 = \pi \times 9 = 9\pi \, \text{cm}^2
\]
So, the area of the circle in terms of \(\pi\) is \( 9\pi \, \text{cm}^2\).
To estimate the area, we can use the approximate value of \(\pi \approx 3.14\):
\[
\text{Estimated Area} \approx 9 \times 3.14 = 28.26 \, \text{cm}^2
\]
Thus, the area of the circle is \( 9\pi \, \text{cm}^2\) in terms of \(\pi\), and approximately \( 28.26 \, \text{cm}^2\) as an estimated area.