Question

The area of a circle is 201cm² . what is the diameter ?

Answer 1

The diameter of the circle is 16

Explanation:

`\pi = 3.14`

Area =
`\pi r^(2)` you will have to use this formula to find the radius

`\pi r^(2) = 201` =
`3.14r^(2)=201` (divide 3.14 into both sides)

`(3.14r^2)/(3.14) = (201)/(3.14)` cross out 3.14 leaves you with
`r^2` and divide 201/3.14= 64.01

`r^2 = 64.01\\r = √(64.01)\\r = 8` square root 64.01 which equals 8

Diameter =
`2r` 2(8) = 16

To check answer use Area formula
`\pi (8)^(2)` = 201. 0619298

Answer 2

The answer is 16 cm approx.

Diameter= 2
`√(a/pi)`

=>2
`√(201 / 22/7)`

=>2
`√(201*7/22)`

=>15.997.......

=> 16 approx

Hope this helps you!!