Question

The area of a circle is 200.96 square kilometers. what is the circle's circumference? using 3.14 as pi

Answer 1

------------------------------------------------------
Formula
------------------------------------------------------
Area of circle = πr²

------------------------------------------------------
Find Radius
------------------------------------------------------
200.96 = πr²
r² = 200.96 ÷ π
r² = 63.97
r = √63.97
r = 8 km (nearest hundredth)

------------------------------------------------------
Formula
------------------------------------------------------
Circumference = πD

------------------------------------------------------
Find Diameter
------------------------------------------------------
Diameter = Radius x 2
Diameter = 8 x 2
Diameter = 16 km

------------------------------------------------------
Find Circumference
------------------------------------------------------
Circumference = πD
Circumference = π (16)
Circumference = 25.13 km

------------------------------------------------------
Answer: Circumference = 25.13km
------------------------------------------------------

Answer 2

we know that

the area of a circle is equal to

`A=\pi r^(2)`

the circumference of a circle is equal to

`C=2\pi r`

where

r is the radius of the circle

in this problem we have

`A=200.96\ km^(2)`

Step
`1`

Find the radius of the circle

`A=\pi r^(2)`

`A=200.96\ km^(2)`

so

`200.96=\pi r^(2)`

`r^(2)=(200.96/3.14)`

`r^(2)=64\\ r=8\ km`

Step
`2`

Find the circumference of the circle

`C=2\pi r`

`C=2*3.14*8`

`C=50.24\ km`

therefore

the answer is

the circumference is equal to
`50.24\ km`