Answer:
Circumference: 43.96 inches.
Area: 153.86 square inches.
Step-by-step explanation:
1. Circumference.
Pi, by definition, is the ratio between the length of circumference and the diameter of a circle. Therefore:
[tex]\pi =\frac{s}{d}[/tex]; where s is the length of circumference, and d is the diameter of the circle.
Now, we are looking for the value of s, let's solve for s:
[tex]\pi =\frac{s}{d}\\\\s=\pi *d[/tex]
Substitute.
[tex]s=3.14 *(14'')\\\\s=43.96''.[/tex]
2. Area.
Area of a circle: [tex]A=\pi *r^{2}[/tex]; where r is the radius of a circle.
We don't have the radius, but we do have the diameter and the diameter is just the double of the radius. Hence:
[tex]d=2*r\\\\r=\frac{d}{2} \\\\r=\frac{14}{2} \\\\r=7[/tex]
Take the values that we have and calculate the area:
[tex]A=\pi *r^{2}\\\\A=3.14 *7^{2}\\\\A=153.86''.[/tex]
