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alexandr402 [8]
3 years ago
6

What is the equation of the circle with center (5,-4) and containing the points (5,-2)

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

The equation of a circle is (x-5)^2+(y+4)^2=4 .

Step-by-step explanation:

-The equation of a circle is:

(x-h)^2+(y-k)^2=r^2 (where center is (h,k), the point (x_{1},y_{1}) and the radius known as r).

-Use the center (5,-4) and the point (5,-2) for the equation:

(5-5)^2+(-2+4)^2=r^2

-Solve the equation:

(5-5)^2+(-2+4)^2=r^2

0 + (-2)^2=r^2

4 = r^2

\sqrt{4} = \sqrt{r^2}

2 = r

-After you found the radius, use the center (5, -4)  and radius 2 to get the equation of a circle:

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

-Then, after you have the equation, the radius needs to simplified by the exponent:

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

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