Question

The diameter of a circle is 14 inches. Find the circumference and area use 3.14 for pie

Answer 1

Answer: 43.98

Step-by-step explanation: diameter is 14 inches in order to find the circumference you need to use the radius which is d/r

c=2 x pi x r

Answer 2

Circumference: 43.96 inches.

Area: 153.86 square inches.

Explanation:

1. Circumference.

Pi, by definition, is the ratio between the length of circumference and the diameter of a circle. Therefore:

`\pi =(s)/(d)`; 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:

`\pi =(s)/(d)\\\\s=\pi *d`

Substitute.

`s=3.14 *(14'')\\\\s=43.96''.`

2. Area.

Area of a circle:
`A=\pi *r^(2)`; 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:

`d=2*r\\\\r=(d)/(2) \\\\r=(14)/(2) \\\\r=7`

Take the values that we have and calculate the area:

`A=\pi *r^(2)\\\\A=3.14 *7^(2)\\\\A=153.86''.`