Question

Find the length of the radius for this circle.

(x - 3)² + (y - 5)² = 8

8
4
2√2

Answer 1

we know that the 8 represent the squared radius of the circle so to get the radius we should take the square root of 8
the answer is √8 = 2√2

Answer 2

Answer:
`2√(2)`

Explanation:

The general form of equation of a circle is given by :-

`(x-a)^2+(y-b)^2=r^2` , where r is radius and (a,b) is the center of the circle.

The given equation of circle:
`(x - 3)^2 + (y - 5)^2 = 8`

`\Rightarrow\ r^2=8`

Taking square root on both sides, we get

`\Rightarrow\ r=√(8)=2√(2)`

Hence, the length of the radius for this circle=
`2√(2)`