2.1-2.5, 3.1-3.4 Exam 2 Review Math Worksheet With Answers Page 4
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2.5: Circles
Memorize the standard form for the equation of a circle with center at (h, k) and radius r.
2
2
2
(x
h)
+ (y
k)
= r
No ellipses or hyperbolas will be on the exam
Complete the square with two variables
12. Write the equation for this circle in standard form. Give the center and radius then graph the circle.
2
2
2x
16x + 2y
+ 20y + 58 = 0
Solution: Center at (4, 5) and radius 2 3
13. Write the equation for this circle in standard form. Give the center and radius then graph the circle.
1
1
2
2
x
6x +
y
+ 2y + 36 = 0
4
4
Solution: Center at (12, 4) and radius 4
14. Write the equation for this circle in standard form. Give the center and radius then graph the circle.
11
2
2
x
x + y
+ 3y
= 0
2
1
3
Solution: Center at
,
and radius 2 2
2
2
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