Question

find the length of the circumference and the area of a circle whose diameter measures 4 yd. use the value 3.14 as π, and do not round the answers. include the correct units in the answers.

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 $C = 2\pi r$ or $C=\pi d$. Using $C=\pi d$ with $d = 4$ 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:

Longitude de la circunferencia: $12.56$ yd
Área: $12.56$ yd$^{2}$