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gogolik [260]
3 years ago
15

Write the equation of circle with diameter of 10 units centered at (- 2, 1) .

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

(x+2)^2 + (y-1)^2 = 25

Step-by-step explanation:

We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).

Recall that the equation of a circle has the standard form:

(x-h)^2 + (y-k)^2 = r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our diameter is 10, our radius is 5.

And since the center is at (-2, 1), <em>h</em> = -2 and <em>k</em> = 1.

Substitute:

\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2

And simplify. Hence, our equation is:

(x+2)^2 + (y-1)^2 = 25

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