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Rina8888 [55]
3 years ago
11

Identify the equation of the circle that has its center at (16, 30) and passes through the origin

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

(x - 16)^2 + (y - 30)^2 = 1156

Equation of a circle:

The equation of a circle with center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (16, 30)

This means that x_0 = 16, y_0 = 30

Thus

(x - 16)^2 + (y - 30)^2 = r^2

Passes through the origin:

We use this to find the radius squared, as this means that x = 0, y = 0 is part of the circle. Thus

(x - 16)^2 + (y - 30)^2 = r^2

(0 - 16)^2 + (0 - 30)^2 = r^2

r^2 = 16^2 + 30^2 = 1156

Thus, the equation of the circle is:

(x - 16)^2 + (y - 30)^2 = 1156

For another example to find the equation of a circle, you can look at brainly.com/question/23719612

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