Distances, Midpoints, Circles -- Quiz

Problem 1. Find an equation of the circle with the center (-1,4) that passes through (3,7).

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Answer to Problem 1.

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Problem 2. The diameter of a circle connects two points (7,13) and (-3,-11) on the circle.

(a) Find the center and the radius of the circle.

(b) Write the circle's equation in the standard form.

Answer to Problem 2.

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Problem 3. Find an equation of the circle whose center is (2,-7) and the area [Maple Math] .

Answer to Problem 3.

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Problem 4. By completing the square in x terms and y terms, find the center, radius and the equation in the standard form of the circle given by the equation

[Maple Math] .

Answer to Problem 4.

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MTH 111 Quizzes, B. Kaskosz, L. Pakula, 2001.

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