Question

Find the area of a circle with a circumference of \blueD{31.4}31.4start color blueD, 31, point, 4, end color blueD units.

Answer 1

78.5

Explanation:

Answer 2

The area of the circle is
`78.5\ units^(2)`

Explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

`C=2\pi r`

we have

`C=31.4\ units`

assume

`\pi=3.14`

substitute the values

`31.4=2(3.14)r`

`r=31.4/[2(3.14)]=5\ units`

step 2

Find the area of the circle

The area of the circle is equal to

`A=\pi r^(2)`

substitute the values

`A=(3.14)(5)^(2)`

`A=78.5\ units^(2)`