Question

find the area and the circumference of a circle with radius 4 cm. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers. area: circumference:

Explanation:

Step1: Calculate the area of the circle

The formula for the area of a circle is \(A=\pi r^{2}\). Given \(r = 4\) cm and \(\pi=3.14\), we substitute the values:
\(A = 3.14\times4^{2}\)
\(A=3.14\times16\)
\(A = 50.24\) \(cm^{2}\)

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\). Substituting \(r = 4\) cm and \(\pi=3.14\):
\(C=2\times3.14\times4\)
\(C = 25.12\) cm

Answer:

Area: \(50.24\) \(cm^{2}\)
Circumference: \(25.12\) cm