Question

find the circumference and the area of a circle with diameter 4 yd.
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 \( d = 4\) yd, so \( r=\frac{d}{2}=\frac{4}{2}=2\) yd.

Step2: Calculate the circumference

The formula for the circumference \( C \) of a circle is \( C=\pi d \). Substituting \( d = 4\) yd and \( \pi=3.14 \), we get \( C = 3.14\times4=12.56\) yd.

Step3: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substituting \( r = 2\) yd and \( \pi=3.14 \), we have \( A=3.14\times2^{2}=3.14\times4 = 12.56\) \(yd^{2}\).

Answer:

Circumference: \( 12.56\) yd
Area: \( 12.56\) \(yd^{2}\)