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
𝜋
.(1 point)
mm2

Answer 1

To calculate the area of a circle, you can use the formula:

\[
\text{Area} = \pi r^2
\]

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

Given:
- Radius \( r = 75 \) mm
- \( \pi \approx 3.14 \)

Substituting the values into the formula:

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

Now calculate \( (75)^2 \):

\[
(75)^2 = 5625
\]

Now substitute this back into the area formula:

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

Now calculate \( 3.14 \times 5625 \):

\[
3.14 \times 5625 \approx 17678.125
\]

Now to round to the tenths place:

\[
17678.1
\]

Therefore, the approximate area of the circle is:

\[
\boxed{17678.1 \, \text{mm}^2}
\]