Question
The distance around a meteor crater is 9,687 feet. Find the diameter of the crater. Use 22/7 for pi. Round to the nearest tenth.
Answers
GPT-4o mini
To find the diameter of the meteor crater, we start with the formula for the circumference of a circle:
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter. Given that the circumference \( C \) is 9,687 feet and we will use \( \pi \approx \frac{22}{7} \), we can rearrange the formula to solve for \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting \( C \) and \( \pi \) into the equation:
\[
d = \frac{9,687}{\frac{22}{7}}
\]
To perform the division, we can multiply by the reciprocal of \( \frac{22}{7} \):
\[
d = 9,687 \times \frac{7}{22}
\]
Now, we calculate:
1. First, compute \( 9,687 \times 7 \):
\[
9,687 \times 7 = 67,809
\]
2. Next, divide \( 67,809 \) by \( 22 \):
\[
d = \frac{67,809}{22} \approx 3,090.4090909
\]
Now, rounding to the nearest tenth:
\[
d \approx 3,090.4
\]
Thus, the diameter of the meteor crater is approximately **3,090.4 feet**.
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter. Given that the circumference \( C \) is 9,687 feet and we will use \( \pi \approx \frac{22}{7} \), we can rearrange the formula to solve for \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting \( C \) and \( \pi \) into the equation:
\[
d = \frac{9,687}{\frac{22}{7}}
\]
To perform the division, we can multiply by the reciprocal of \( \frac{22}{7} \):
\[
d = 9,687 \times \frac{7}{22}
\]
Now, we calculate:
1. First, compute \( 9,687 \times 7 \):
\[
9,687 \times 7 = 67,809
\]
2. Next, divide \( 67,809 \) by \( 22 \):
\[
d = \frac{67,809}{22} \approx 3,090.4090909
\]
Now, rounding to the nearest tenth:
\[
d \approx 3,090.4
\]
Thus, the diameter of the meteor crater is approximately **3,090.4 feet**.