**Distances, Midpoints, Circles -- Quiz**

**Problem 1.**
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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.**
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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.

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**Answer to Problem 2.**

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

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**Answer to Problem 3.**
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**Problem 4.**
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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

.

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**Answer to Problem 4. **

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

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