Circle in the Coordinate Plane

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?

Review: Circle in the Coordinate Plane


Explanation

To find the circumference of this circle, we need its radius. And the radius is the distance from its center to any point on the circle, so the radius is the distance from (-1 ,-3) to (4,2).

This distance is computed with the distance formula, which is essentially the Pythagorean Theorem. The sides of the triangle are the x and y distances, 5 and 5, so the distance is . The radius of the circle is , so the circumference is .

The correct answer is (B).


If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.