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

1 answer

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:

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