Question

Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth

Answer 1

Answer:

Step-by-step explanation:

Area of a circle is defined as

A = πr²

Where

A is the area of the circle

r Is the radius of the circle

π is a constant = 3.142

Then,

Given that the area is 380 in²

So,

A = πr²

380 = 3.142 × r²

Divide both side by 3.142

380 / 3.142 = 3.142 × r² / 3.142

111.372 = r²

Take square root of both sides

√111.372 = √r²

10.5533 = r

r = 10.5533 in

Nearest hundredth means to 2d.p

Therefore

r = 10.55 inches

Answer 2

Answer:

11 in

Step-by-step explanation:

$r = \sqrt{\frac{A}{\pi } }$         Use this equation to find the radius when you know the area

$r = \sqrt{\frac{380}{\pi } }$       Divide

$r=\sqrt{120.96}$   Take the square root

r = 10.998 to the nearest hundredth is 11