Question

1. what is the circumference of a circular fountain if its radius is 5.3 m?

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) or \( C=\pi d \) (where \( d \) is the diameter and \( d = 2r \)). Here we know the radius \( r = 5.3\space m \), so we use \( C = 2\pi r \).

Step2: Substitute the value of radius into the formula

Substitute \( r = 5.3\space m \) into \( C = 2\pi r \). So \( C=2\times\pi\times5.3 \). Taking \( \pi\approx3.14 \), we have \( C = 2\times3.14\times5.3 \).

Step3: Calculate the value

First, calculate \( 2\times3.14 = 6.28 \). Then, calculate \( 6.28\times5.3 \). \( 6.28\times5 = 31.4 \) and \( 6.28\times0.3=1.884 \). Adding these together, \( 31.4 + 1.884=33.284\space m \).

Answer:

The circumference of the circular fountain is approximately \( 33.28\space m \) (or more precisely \( 10.6\pi\space m\approx33.284\space m \))