Question

Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.

Answer 1

Answer:

$(x-5)^2+(y+2)^2=16$

Step-by-step explanation:

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General Circle function: $(x-h)^2+(y-k)^2=r^2$, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.

The radius of the circle is half the diameter so: 8 / 2 = 4

The x-coordinate of the circle is 5

The y-coordinate of the circle is -2

Plug in.

$(x-5)^2+(y-(-2))^2=4^2$

$(x-5)^2+(y+2)^2=16$