Question

Find the circumference of a circle when the area of the circle is 64πcm²​

Answer 1

Answer: C=16π cm or 50.24 cm

Explanation:

The formula for area and circumference are similar with slight differences.

`C=2\pi r`

`A=\pi r^2`

Notice that circumference and area both have
`\pi` and radius.

`64\pi=\pi r^2` [divide both sides by
`\pi`]

`64=r^2` [square root both sides]

`r=8`

Now that we have radius, we can plug that into the circumference formula to find the circumference.

`C=2\pi r` [plug in radius]

`C=2\pi 8` [combine like terms]

`C=16\pi`

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

Answer 2

50.27 cm

Explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.