Lesson 6 Circle Challenges Practice Understanding

Ready

Find the perimeter of each polygon.

1.

Quadrilateral ABCD A(-4,9), B(3,7), C(0,3), D(-7,5)

2.

Triangle EFG E(-8,1), F(3,-2), G(-5,-5)

3.

Quadrilateral JKLM; J(10,7), K(14,3), L(10,-1), M(6,3)

4.

Quadrilateral NPQR; N(-1,-9), P(4,-4), Q(11,-11), R(6,-16)

Set

5.

Write the equation of circle .

Circle Q; Q(-16,-5) and R(-8,-13) on the circle.

6.

The point is the center of a circle with a radius of . Does the point lie inside, outside, or on the circle? Explain your answer.

7.

The diameter of a circle measures units and the center is at the intersection of and . Prove that the equation of the circle is .

8.

Triangle is inscribed in . Segment passes through the center of and to the -axis. All vertices of lie on the circle. Use the information in the diagram to write the equation of . Justify that your equation is correct.

Circle Q with Triangle WXR inscribed in the circle. XW=5, XR=12, R(-4,-10)

9.

A circle lies in Quadrant II, tangent to and and the -axis. Find the center and radius of the circle. Then write the equation of the circle.

10.

Three points on a circle are , , and . Draw a diagram to explain why the equation of the circle is .

a blank 17 by 17 grid

11.

Complete the square to find the center and radius of a circle defined by the equation .

12.

Complete the square to find the center and radius of a circle defined by the equation .

Go

Fill in the number that completes the square. Then write the trinomial as the square of a binomial.

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Factored form:

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Factored form:

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Factored form:

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Factored form:

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Factored form:

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Factored form:

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Factored form: