Question

The area of the square is 25 square feet. Question To the nearest tenth, what is the diameter of the circle?

Answer 1

Answer:

The diameter of circle is 5√2 feet or 7.07 feet

Step-by-step explanation:

First, you have to find the side length of the square by using area formula :

$area = length \times breadth$

$let \: \: length = breadth = l \\ let \: area = 25$

$25 = l \times l$

$25 = {l}^{2}$

$l = \sqrt{25}$

$l = 5feet$

As you look at the diagram, the diagonal(hypotenuse) of the square is equals to the diameter of circle. So you have to apply Pythogoras Theorem' :

${c}^{2} = {a}^{2} + {b}^{2}$

$let \: a = 5 \\ let \: b = 5$

${c}^{2} = {5}^{2} + {5}^{2}$

${c}^{2} = 50$

$c = \sqrt{50}$

$c = 5 \sqrt{2}feet \: \: or \: \: 7.07feet$