Question

Find the diameter of a circle with an area of 74 square millimeters

Answer 1

Answer:

The diameter of the circle is 9.7mm

Step-by-step explanation:

The area of a circle is given by the following formula:

$A_{c} = \pi r^{2}$

In which r is the radius.

In this problem, we have that

$A_{c} = 74 mm^{2}$

So

$74 = \pi r^{2}$

$r = \sqrt{\frac{74}{\pi}}$

$r = 4.85mm$

The diameter is twice the radius:

So

$d = 2r = 2*4.85 = 9.7$

The diameter of the circle is 9.7mm