Question

find the circumference and the area of a circle with diameter 6 m. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers. circumference: area:

Explanation:

Step1: Find the radius from diameter

The diameter \( d = 6\) m, and the radius \( r=\frac{d}{2}\). So \( r=\frac{6}{2}=3\) m.

Step2: Calculate the circumference

The formula for the circumference of a circle is \( C=\pi d\) (or \( C = 2\pi r\)). Using \( \pi = 3.14\) and \( d = 6\) m, we have \( C=3.14\times6 = 18.84\) m.

Step3: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2}\). We know \( r = 3\) m and \( \pi=3.14\), so \( A = 3.14\times3^{2}=3.14\times9 = 28.26\) square meters.

Answer:

Circumference: \( 18.84\) meters
Area: \( 28.26\) square meters