Answer:
Y = 22.56 cm
Step-by-step 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
[tex] {r}^{2} = \frac{400}{\pi} [/tex]
Find the square root of both sides
[tex]r = \sqrt{ \frac{400}{\pi} } [/tex]
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
Y = 22.56 cm
Hope this helps you
