Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would be the radius of Star Wars land?

Question

asked Sep 27, 2021 168k views

2 Answers

Denis Nutiu · Answer 1 · 2021-10-01T20:48:57+0000

Answer:

Explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

$56656.04 = \pi {r}^(2)$

Divide both sides by π

We have

${r}^(2) = (56656.04)/(\pi)$

Find the square root of both sides

$r = \sqrt{ (56656.04)/(\pi) }$

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you