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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