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

Question

Yasmine Frazier

Mathematics

20 October, 06:00

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

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Answers (1)

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Lexie Raymond · Answer 1

The format of the equation of a circle is

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

where

(h, k) is the center

and r is the radius

in this case

h = 12

y = 32

and

r = sqrt (49) = 7

therefore

center = (12, 32)

radius = 7