dustin59 dustin59

22-08-2022
Mathematics

contestada

A circle has center
C(3, 4) and a point on the circle is (3, -2). What is the length of the
radius?

Respuesta :

iqalilcrybaby iqalilcrybaby

22-08-2022

note that the equation of the circle is

(x-h)² +(y-k)² =r²

where centre is (h,k)

the equation of the circle based on the information given

(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)

substitute into the equation

(3-3)² +(-2-4)² =r²

r=6 or r=-6

since r is radius, we reject r=-6 since radius must be nonnegative.

the radius is 6

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