Question

If the area of a circle is 64 pi what is the diameter

Answer 1

Find the radius:

Area = πr²

64π = πr²

r² = 64π ÷ π

r² = 64

r = √64

r = 8 units

Find the diameter:

Diameter = Radius x 2

Diameter = 8 x 2 = 16 units

Answer: The diameter is 16 units long.

Answer 2

Given :

Area = 64π

$Area \: = \pi {r}^{2}$

$64 \: \pi \: = \pi {r}^{2}$

${r}^{2} = \dfrac{64\pi}{\pi}$

${r}^{2} = 64$

$r \: = \: \sqrt{64} = 8$

Radius = 8 units

Finding the Diameter -

Diameter = Radius x 2 = 8 x 2 = 16 .

$\bold{Diameter \: is \: 16 \: units}$