Question

Find the length of the radius of the following circle.

(x + 2)² + y² = 10

5
√(10)
10

Answer 1

(x - h)^2+(y-k)^2=r^2

is the equation of a circle, to find the radius (r) just take the square root of r

\[\sqrt{10}\]

Answer 2

Standard form of a circle:
\[(x-h)^{2}+(y-k)^{2}=r^{2} \]

Your circle:
\[(x-(-2))^{2}+(y-0)^{2}= (\sqrt{10})^{2}\]

So: \[r=\sqrt{10}\]