Question

Circumference=14.4
Area =?

Answer 1

`a = (1296)/(5\pi)`

Explanation:

Given:

C = 14,4 (circumference)

Find: A - ? (area)

Let's start by writing down both circumference and area formulas:

`c = 2\pi * r`

`a = \pi * {r}^(2)`

We can find the radius (r) from the 1st formula:

`r = (c)/(2\pi) = (14.4)/(2\pi) =14 (4)/(10) * (1)/(2\pi) = (144)/(10) * (1)/(2\pi) = (144)/(20\pi) = (36)/(5\pi)`

Now, that we know the length of the radius, we can find the area:

`a = \pi *( { (36)/(5\pi) })^(2) = \frac{1296}{25 {\pi}^(2) } * (\pi)/(1) = (1296)/(25\pi)`