MATH SOLVE

4 months ago

Q:
# Write the equation of each circle given its center and a point P that it passes through

Accepted Solution

A:

ANSWER[tex] {x}^{2} + {y}^{2} = 4[/tex]EXPLANATIONThe circle passes through P=(2,0) and centered at (0,0).The radius of this circle is [tex]r = \sqrt{ {(2 - 0)}^{2} + {(0 - 0)}^{2} } = 2[/tex]The equation is given by:[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]This implies that[tex] {x}^{2} + {y}^{2} = {2}^{2} [/tex][tex] {x}^{2} + {y}^{2} = 4[/tex]