Welcome. Welcome HW Key: Objectives & HW: The students will be able to find the equation of a circle satisfying a given set of conditions, and identify.

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Presentation transcript:

Welcome

HW Key:

Objectives & HW: The students will be able to find the equation of a circle satisfying a given set of conditions, and identify the center and radius of a circle given its equation. HW: p. 402: 10-26 even, 46, 48

Classwork: Equation of a Circle 1. Write the equation of the circle whose center is (0, 0) and radius is 10.

2. Write the equation of the circle whose center is (3, -5) and radius is .

3. Find the equation of the circle whose endpoints of a diameter are (-7,3) and (1,-7).

4. Find the equation of the circle whose center is at the origin and the circle goes through the point (-4, -2).

5. Graph the circle: (x + 3)2 + (y - 2)2 = 9 5. Graph the circle: (x + 3)2 + (y - 2)2 = 9. Identify 4 points on the circle. (_____, _____) (_____, _____) (_____, _____) (_____, _____)

Write the equation of the tangent line to at the point (4, —1)

Write the equation of the tangent line to at the point (—4, 5).

Write the equation of the tangent line to at the point (—6,3).

9. Write the equation of the circle whose center is (—4, 6) and the circle is tangent to the x-axis.

10. Write the equation of a circle whose center is (—5, 0) and the circle goes through the origin.

Identify the center and radius of each circle whose equation is given Identify the center and radius of each circle whose equation is given. Then give the domain & range. a.

Identify the center and radius of each circle whose equation is given Identify the center and radius of each circle whose equation is given. Then give the domain & range. b.

Identify the center and radius of each circle whose equation is given Identify the center and radius of each circle whose equation is given. Then give the domain & range. c.

Identify the center and radius of each circle whose equation is given Identify the center and radius of each circle whose equation is given. Then give the domain & range. d.