# Find the centre and radius of the circle: (x-12)2+(y+13)2=136 - Mathematics and Statistics

Sum

Find the centre and radius of the circle:

(x - 1/2)^2 + (y + 1/3)^2 = 1/36

#### Solution

Comparing the equation (x - 1/2)^2 + (y + 1/3)^2 = 1/36

with (x – h)2 + (y – k)2 = r2, we get,

h = 1/2, k = -1/3 and r2 = 1/36

∴ centre is (h, k), i.e., (1/2, -1/3)

and radius = r = 1/6

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