Question

find the circumference and the area of a circle with diameter 6 cm. 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

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 6\) cm, so \(r=\frac{d}{2}=\frac{6}{2}=3\) cm.

Step2: Calculate the circumference

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

Step3: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substituting \(r = 3\) cm and \(\pi=3.14\), we get \(A=3.14\times3^{2}=3.14\times9=28.26\) \(cm^{2}\).

Answer:

Circumference: \(18.84\) cm
Area: \(28.26\) \(cm^{2}\)