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10. what is the circumference of the circle shown? 5 m

Question

  1. what is the circumference of the circle shown? 5 m

Explanation:

Step1: Identify the radius

The radius \( r \) of the circle is given as \( 5 \, \text{m} \).

Step2: Recall the circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) (or \( C=\pi d \), where \( d \) is the diameter; since \( d = 2r \), both formulas are equivalent).

Step3: Substitute the radius into the formula

Substitute \( r = 5 \, \text{m} \) into \( C = 2\pi r \):
\[
C = 2 \times \pi \times 5
\]

Step4: Calculate the circumference

Simplify the expression:
\[
C = 10\pi \approx 10 \times 3.14 = 31.4 \, \text{m}
\]

Answer:

The circumference of the circle is \( 10\pi \, \text{m} \) (or approximately \( 31.4 \, \text{m} \)).