Question

. Find the diameter of a circle with an area
of 415.48 square inches.

Answer 1

Answer:

The diameter if the given circle is 23 inches.

Step-by-step explanation:

Here, given : The area of the circle  = 415.48 square inches.

Let us assume the radius of the circle - R inches

Now, AREA OF THE CIRCLE  = $\pi (R)^2$

$\implies 415.48 = \pi (R)^2\\\implies (R)^2 = \frac{415.48}{3.14}  = 132.19 \\\implies (R)^2 = 132.19 \\\implies R = 11.49$

or, Radius of the circle  = 11.49 inches

Now, DIAMETER = 2 x RADIUS

⇒ D =  2 x ( 11.49)  ≈  23 inches

Hence, the diameter if the given circle is 23 inches.