Question

The area of a circle is equal to 1 dm². Find the radius of the circle.

Answer 1

Answer:
`(1)/(√(\pi ) )`

Explanation:

first we know the equation to find the area of circle is
`\pi`
`r^2`. The equation would be
`\pi r^2 =1` . divide
`\pi` on both sides so you will have
`r^2` =
`(1)/(\pi )`. square root both sides to get r =
`\sqrt{(1)/(\pi ) }`. we know that
`√(1)` is still 1 so you can rewrite it as 
`(1)/(√(\pi ) )`

Answer 2

The radius of the circle is 0·564 dm

Explanation:

Area of a circle is
`\pi r^(2)`

`\pi =` 3·1416

r
`=` Radius

so ,
`\pi r^(2) =` 1 dm²

`(` 3·1416
`)` ×
`r^(2)`
`=` 1 dm²

Divide the 3·1416 both the side

`r^(2)`
`=` 1 ÷ 3·1416 dm²

`r^(2) =` 0·3183 dm²

`r = \sqrt{0.3183 dm^(2)`

r
`=` 0·564 dm

so , The radius of the circle is 0·564 dm