Question

circumference of circles ks7
the radius of a circle is 6 meters. what is the circles circumference?

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) (where \( r \) is the radius) or \( C=\pi d \) (where \( d \) is the diameter, and \( d = 2r \)). Here we use \( C = 2\pi r \).

Step2: Substitute the radius value

Given \( r = 6 \) meters. Substitute \( r = 6 \) into the formula \( C=2\pi r \). So \( C=2\times\pi\times6 \).

Step3: Calculate the result

Simplify \( 2\times6 = 12 \), so \( C = 12\pi \) meters. If we use \( \pi\approx3.14 \), then \( C\approx12\times3.14 = 37.68 \) meters.

Answer:

The circumference of the circle is \( 12\pi \) meters (or approximately \( 37.68 \) meters).