1 Answer

Rdcrng · Answer 1 · 2021-01-13T04:42:08+0000

Answer:

Y = 22.56 cm

Explanation:

To find the diameter Y of the circle we must first find the radius of the circle

Area of a circle = πr²

where

r is the radius

From the question

Area = 400cm²

Substitute the value into the above formula and solve for the radius

That's

400 = πr²

Divide both sides by π

We have

${r}^(2) = (400)/(\pi)$

Find the square root of both sides

$r = \sqrt{ (400)/(\pi) }$

radius = 11.28 cm

Since we have the radius we can use it to find the diameter Y using the formula

diameter = radius × 2

radius = 11.28

Y = 11. 28 × 2

We have the final answer as

Hope this helps you