Find the diameter of a circle with and area of 90.25 pi m square

The diameter of the circle is 19 m

Step-by-step explanation:

The formula of the area of a circle is A = π r², where r is its radius

To find the diameter from the area of the circle equate the formula of the area by the value of the area to find r, then multiply r by 2 because the diameter of a circle is equal twice its radius

∵ The area of the circle is 90.25 π m²

∵ A = π r²

- Equate A by 90.25 π

∴ π r² = 90.25 π

- Divide both sides by π

∴ r² = 90.25

- Take √ for both sides

∴ r = 9.5

∵ The diameter of a circle is twice its radius

∴ d = 2 r

- Substitute r by 9.5

∴ d = 2 (9.5)

∴ d = 19

The diameter of the circle is 19 m