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The center of a circle is (4. 6) and its radius is 5. What is the equation of the circle?​

The center of a circle is (4. 6) and its radius is 5. What is the equation of the-example-1
User Keyofnight
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2 Answers

5 votes

Answer:


(x - 4)^2 + (y - 6)^2 = 25.

Explanation:

Start with the equation of a circle:
(x - h)^2 + (y - k)^2 = r^2

Plug in the values for the center:
(x - 4)^2 + (y - 6)^2 = r^2

Substitute the value of the radius:
(x - 4)^2 + (y - 6)^2 = 5^2

Simplify the equation:
(x - 4)^2 + (y - 6)^2 = 25

The resulting equation is the equation of the circle:
(x - 4)^2 + (y - 6)^2 = 25.

User Bdkosher
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7.5k points
4 votes
The equation of a circle with its center at point (h, k) and radius r is given by the formula:

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

In this case, the center of the circle is (4, 6) and the radius is 5. Plugging these values into the equation, we get:

(x - 4)^2 + (y - 6)^2 = 5^2

Expanding the equation further:

(x - 4)^2 + (y - 6)^2 = 25

So, the equation of the circle is (x - 4)^2 + (y - 6)^2 = 25.
User Chanu Panwar
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7.1k points

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