Question

Question
The radius of a circle is 75 mm. What is the approximate area of the circle? Write your answer to the tenths place. Use 3.14 for π
.(1 point)
mm2

Answer 1

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 \( r \) is 75 mm and using \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times (75)^2
\]

First, calculate \( 75^2 \):

\[
75^2 = 5625
\]

Now, plug this value back into the area formula:

\[
\text{Area} \approx 3.14 \times 5625
\]

Now perform the multiplication:

\[
3.14 \times 5625 \approx 17677.5
\]

Thus, the approximate area of the circle is:

\[
\text{Area} \approx 17677.5 \, \text{mm}^2
\]

So the area of the circle, rounded to the tenths place, is:

\[
\boxed{17677.5} \, \text{mm}^2
\]