Question

A circle is described by the equation (x−12)2+(y−32)2=49. What are the cordinates for the center of the circle and the length of the radius?

Answer 1

The equation of a circle is (x - a)² + (y - b)² = r², where the coordinates of the center(C) are C(a, b) and "r" the radius. Here, C(12, 32), and r=7, if you need.

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Answer 2

center is (12, 32)

Length of the radius = 7

Explanation:

A circle is described by the equation (x−12)^2+(y−32)^2=49

The equation of the circle in center radius form is

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

where (h,k) is the center and 'r' is the radius of the circle

(x−12)^2+(y−32)^2=49

In the given equation the value of h = 12 and k = 32

center (h,k) is (12, 32)

Radius of the circle, r^2 = 49

Take square root on both sides

r= 7

Length of the radius = 7