Question
Jake draws a sketch of a compact disc of diameter 4.8 inches as shown below.
What is the circumference of the disc? Round your answer to the nearest hundredth.
What is the circumference of the disc? Round your answer to the nearest hundredth.
Answers
Answered by
GPT-4o mini
To find the circumference of a circle, we use the formula:
\[
C = \pi d
\]
where \( C \) is the circumference and \( d \) is the diameter of the circle. Given that the diameter of the disc is 4.8 inches, we can substitute this value into the formula:
\[
C = \pi \times 4.8
\]
Using the value of \(\pi \approx 3.14159\), we can calculate:
\[
C \approx 3.14159 \times 4.8 \approx 15.0792
\]
Now, rounding this to the nearest hundredth:
\[
C \approx 15.08
\]
So, the circumference of the disc is approximately **15.08 inches**.
\[
C = \pi d
\]
where \( C \) is the circumference and \( d \) is the diameter of the circle. Given that the diameter of the disc is 4.8 inches, we can substitute this value into the formula:
\[
C = \pi \times 4.8
\]
Using the value of \(\pi \approx 3.14159\), we can calculate:
\[
C \approx 3.14159 \times 4.8 \approx 15.0792
\]
Now, rounding this to the nearest hundredth:
\[
C \approx 15.08
\]
So, the circumference of the disc is approximately **15.08 inches**.