Question

find the circumference and the area of a circle with a radius of 4 in. the circumference is (type an integer or decim e nearest tenth as needed.) the area is (type an integer or decim in. e nearest tenth as needed.)

Explanation:

Step1: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(r = 4\) in.
\(C=2\times\pi\times4=8\pi\approx8\times3.14 = 25.1\) in.

Step2: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Given \(r = 4\) in.
\(A=\pi\times4^{2}=16\pi\approx16\times3.14=50.2\) in².

Answer:

The circumference is \(25.1\) in.
The area is \(50.2\) in².