Writing Equations In Standard Form Worksheet With Answers - Precalculus H/gt
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1
2Precalculus H/GT
Worksheet: Conics – Circles
Write an equation in standard form of each circle described below:
1. End points of a diameter are (3, 2) and (5, –4).
r , Center (-3, 5)
2.
5
r , Center (-1, -6)
3.
8
r , Center (4, -2)
1
4.
2
r , Center
1
1
5.
( , 0)
2
2
Find the center, radius, and area of each circle:
2
2
1
6.
x
4
y
6
8
2
2
7.
3
x
4
3
y
5
4
2
2
8.
x
y
4
y
0
2
2
9.
x
y
2
x
4
y
4
0
2
2
10.
2
x
2
y
2
x y
0
11. Find the equation in general form of the circle with center (3, 5) and tangent to the x-axis.
12. Find the equation of the circle having center (2, -3) and radius 6.
13. Find the equation of the circle having center (2, -3) and passing through the point (-4, 2).
14. Find the equation of the circle having center on the line
x y
5
and tangent to the x-axis at
the point (8, 0).
2
2
15. Find the equation of the line that is tangent to the circle
x
y
34
at point (3, 5).
2
2
16. Find the equation of the line that is tangent to the circle
x
y
8
x
12
y
42 0
at (5, -3).
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