Name ___________________________ Period __________________________ Geometry
Date _________________________ Mrs. Schuler
Q4 Test: Circle Equation and Locus-Theory
STUDY GUIDE
1.
The term concentric circle means:
2. The standard equation of a circle with the center at the origin of a coordinate system is:
3. The standard equation of a circle with the center not at the origin of a coordinate system is:
4. Find the center and the radius of the circle whose equation is (x+8)2 + (y-15)2 = 100
5. Find the center and the radius of the circle whose equation is (x-10)2 + (y-16)2 = 121
6. Write the equation of a circle whose center is at the origin and radius= 4
7. Find the center and the radius of the circle whose equation is x2 + y2 = 144
WRITE THE FORMULAS FOR Q.8-12
8. Given the radius, find diameter
9. Given the diameter, find radius
10. Given the radius, find Circumference
11. Given the diameter, find Circumference
12. Given radius, find Area
Q. 13 and 14 Answer in terms of pi
13. The Circumference of a circle whose equation is (x+4)2 + (y-9)2 = 25 is:
14. The Area of a circle whose equation is (x-70)2 + (y-30)2 = 625 is:
15. The Diameter of a circle whose equation is (x-5)2 + (y-1)2 = 9 is:
16. Define the term locus .
17. When given a point and a fixed distance from the point the drawing of the locus is:
18. When given a line and a fixed distance from the line, the drawing of the locus is:
19. When given two points, the drawing of the locus of points equidistant from the points is:
20. When given parallel lines, the locus equidistant from those lines
21. When given intersecting lines, the locus equidistant from the lines is:
22. Describe completely the locus of x2 + y2 = 144
23. See Q#8 on the handout – know how to do this.
24. Know how to do Q 12-15