Question

The equation of a circle is (x-5)^2+(y-7)^2=36. What is the radius of the circle?

Answer 1

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The equation of a circle is represented as :

$\large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }$

where,

• "h" represents x - coordinate of the center of circle

• "k" represents y - coordinate of the center of circle

• " r " represents Radius of the given circle

So, from above equation we get:

• ${r}^{2} = 36$

• $r = 6$

Therefore, Radius of the given circle measures 6 units.

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