1. Warm Up Dec. 17 Find the center and radius: x2 + y2 + 8x – 6y = 1
Determine the focus and directrix
y = -3(x + 1)2 – 4
Suppose a chord of a circle is 10 inches long and its midpoint is 12 inches from the center of the circle. Find the diameter of the circle.
Find the area of the shaded
region and the length of arc AC. 6

2. Homework Check & Questions?
Section 1
Section 2
9. E
23. X = 2.5
10. Tangent line
24. X = 5
11. D
25. X = 18
12. B
13. A
14. C
15. H
16. E

3. Section 3
Section 4
9. 63
4. 90
5. 54
6. 50
7. 54
13. 63
8. 36
9. 50
10. 72
16. 35
8. B

4. Section 5
Section 6
142
2. PQ = 21 65
5. 26 40
6. X = 44 28
57.5 52

6. Equations of Circles & Parabolas
Tangents & Chords
Arcs & Angles
Equations of Circles & Parabolas
Misc.
200
400
600
800
1000

7. Tangents & Chords for 200
If MC = 4 and PB = 16, find BN.

8. Tangents & Chords for 400
QC is tangent to circle O and QC = 8 and BC = 4. Find the length of the diameter of circle O.

9. Tangents & Chords for 600
True or false?
Every chord is a diameter.

10. Tangents & Chords for 800
If RT = 13 and WR = 5, find PQ..

11. Tangents & Chords for 1000
Suppose a chord of a circle is 10 inches long and its midpoint is 4 inches from the center of the circle. Find the length of the radius of the circle.

12. Arcs & Angles for 200
If quadrilateral RSTV is inscribed in a circle and mR = 42, then mT = _?_.

13. Arcs & Angles for 400
Solve for x.

14. Find the measure of arc AXB.
Arcs & Angles for 600
Find the measure of arc AXB.

15. Arcs & Angles for 800
If the measure of arc AC is 30⁰ and the measure of angle 3 is 60⁰, find the measure of arc DB.

16. Arcs & Angles for 1000
Find the measure of angle LKN.

17. Equations of Circles & Parabolas for 200
Write the equation of a circle that has diameter length 9 inches and center (-2, 1).

18. Equations of Circles & Parabolas for 400
Write the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).

19. Equations of Circles & Parabolas for 600
Write an equation of the parabola that has focus
(2, -3) and directrix y = 1.

20. Equations of Circles & Parabolas for 800
Rewrite the equation of the circle in information form. Then identify the center and radius. x2 + y2 – 4x – 6y = -8

21. Equations of Circles & Parabolas for 1000
Given the equation of the parabola: y = 2(x – 1) Find the vertex, the focus, and the equation of the directrix.

22. Misc. for 200
The length of a leg of an isosceles right triangle is 9 cm. Find the length of the hypotenuse?

23. Misc. for 400
The shortest side of a 30-60-90 triangle measures 8 inches. Find the length of the long leg?

24. Misc. for 600
The measure of an altitude of an equilateral triangle is 6√3. Find the perimeter of the triangle.

25. Misc. for 800
The circle below has a radius of 4. Find the area of the shaded sector and the length of arc ABC.

26. Misc. for 1000
A rhombus has perimeter 40 cm. If the length of the longer diagonal is 16 cm, determine the length of the shorter diagonal?