Question
a circle has a circumference of 84pi inches. find the diameter of the circle with steps
Answers
GPT-4o mini
To find the diameter of a circle given its circumference, we can use the formula for the circumference of a circle:
\[
C = \pi d
\]
where:
- \( C \) is the circumference,
- \( d \) is the diameter,
- \( \pi \) is a constant approximately equal to 3.14159.
Given that the circumference \( C \) is \( 84\pi \) inches, we can set up the equation as follows:
\[
84\pi = \pi d
\]
Next, we can divide both sides of the equation by \( \pi \) (assuming \( \pi \neq 0 \)):
\[
84 = d
\]
Therefore, the diameter \( d \) of the circle is:
\[
d = 84 \text{ inches}
\]
So, the diameter of the circle is **84 inches**.
\[
C = \pi d
\]
where:
- \( C \) is the circumference,
- \( d \) is the diameter,
- \( \pi \) is a constant approximately equal to 3.14159.
Given that the circumference \( C \) is \( 84\pi \) inches, we can set up the equation as follows:
\[
84\pi = \pi d
\]
Next, we can divide both sides of the equation by \( \pi \) (assuming \( \pi \neq 0 \)):
\[
84 = d
\]
Therefore, the diameter \( d \) of the circle is:
\[
d = 84 \text{ inches}
\]
So, the diameter of the circle is **84 inches**.