Question

Circle C has a center of (-2, 3) and a radius of 4. Does point (-4, 6) lie on circle C?

Answer 1

Answer:

(-4, 6) does not lie on circle C

Step-by-step explanation:

The given circle has a center of (-2, 3) and a radius of 4.

The equation of this circle is given by

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

where (a,b) is the center.

This implies that:

${(x + 2)}^{2} + {(y - 3)}^{2} = {4}^{2}$

If the point (-4,6) lies on this line, then it must satisfy this equation.

${( - 4 + 2)}^{2} + {(6 - 3)}^{2} = {4}^{2}$

${( - 2)}^{2} + {(3)}^{2} = {4}^{2}$

$4 + 9 = 16$

This statement is false hence (-4,6) does not lie on this circle