Question
The radius of a circle is 98 mm. What is the area of the circle? Write your answer to the hundredths place. Use 3.14 for π
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Answers
Answered by
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 \( r = 98 \) mm and using \( \pi \approx 3.14 \), we can substitute these values into the formula:
\[
\text{Area} = 3.14 \times (98)^2
\]
First, calculate \( 98^2 \):
\[
98^2 = 9604
\]
Now, substitute back into the area formula:
\[
\text{Area} = 3.14 \times 9604
\]
Now, perform the multiplication:
\[
\text{Area} = 30638.56
\]
Thus, the area of the circle is:
\[
\text{Area} \approx 30638.56 \text{ mm}^2
\]
Therefore, the area of the circle, rounded to the hundredths place, is **30638.56 mm²**.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. Given that the radius \( r = 98 \) mm and using \( \pi \approx 3.14 \), we can substitute these values into the formula:
\[
\text{Area} = 3.14 \times (98)^2
\]
First, calculate \( 98^2 \):
\[
98^2 = 9604
\]
Now, substitute back into the area formula:
\[
\text{Area} = 3.14 \times 9604
\]
Now, perform the multiplication:
\[
\text{Area} = 30638.56
\]
Thus, the area of the circle is:
\[
\text{Area} \approx 30638.56 \text{ mm}^2
\]
Therefore, the area of the circle, rounded to the hundredths place, is **30638.56 mm²**.
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