Question

5
charlie measured the circle - shaped part of a sun his sister drew on the chalkboard.
the circumference of the circle is 69.08 cm. what is the diameter? (use 3.14 for π.)
a. 22 cm
b. 11 cm
c. 5.5 cm
d. 60.5 cm

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = \pi d \), where \( d \) is the diameter and \( \pi \) is a constant (here \( \pi = 3.14 \)). We need to solve for \( d \), so we can rearrange the formula to \( d=\frac{C}{\pi} \).

Step2: Substitute the given values into the formula

We know that \( C = 69.08 \) cm and \( \pi = 3.14 \). Substituting these values into the formula \( d=\frac{C}{\pi} \), we get \( d=\frac{69.08}{3.14} \).

Step3: Perform the division

Calculating \( \frac{69.08}{3.14} \), we find that \( 69.08\div3.14 = 22 \).

Answer:

A. 22 cm