WorksheetsCircles and Trig
Total questions: 15
Worksheet time: 22mins
Name
Class
Date
1.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
2.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
3.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
4.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
5.
Choose the equation that represents the circle with center (0,0) that goes through the point (3, 4).
a)
(x-3)2+(y-4)2=5
b)
x2+y2=5
c)
x2+y2=25
d)
(x-3)2+(y-4)2=25
6.
Choose the equation that represents the circle with center (5, 9) and goes through (2, 9)
a)
(x+5)2+(y+9)2=3
b)
(x-5)2+(y-9)2=3
c)
(x+5)2+(y+9)2=9
d)
(x-5)2+(y-9)2=9
7.
Which graph corresponds to
(x-8)2+ (y+2)2=
(x-8)2+ (y+2)2=
a)
A
b)
B
c)
C
d)
D
8.
Which graph corresponds to
(x)2+ (y-6)2=9
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
9.
Complete the square for: x2 - 4x - 77 = 0
a)
(x - 2)2 + 73
b)
(x + 2)2 + 73
c)
(x - 2)2 - 81
d)
(x + 2)2 - 81
10.
Complete the square for: m2 + 6m - 84 = 0
a)
(m - 3)2 + 75
b)
(m + 3)2 - 93
c)
(m - 3)2 - 93
d)
(m + 3)2 - 75
11.
Complete the square for: v2 - 18v + 87 = 7
a)
(v + 9)2 - 1
b)
(v + 9)2 + 1
c)
(v - 9)2 - 1
d)
(v - 9)2 + 1
12.
Rachel spotted her car from a weather balloon. She knows her altitude is 82 meters and her angle of depression is 32 degrees. She wants to know the direct distance from her to her car. Round to the nearest meter.
a)
43 m
b)
131 m
c)
155 m
d)
97 m
13.
The angle of elevation from the the driver in the car to the top of the movie screen is 58 o . If the driver is 50 feet away from the screen, how tall is the movie screen?
a)
94.35 ft
b)
26.50 ft
c)
31.24 ft
d)
80.02 ft
14.
From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a meter.
a)
26.0 m
b)
246.2 m
c)
24.7 m
d)
258.9 m
15.
You lean a 20-foot ladder against a wall of your house. The base of the ladder is 4 feet from the wall. What angle does the ladder make with the ground?
a)
11.31 degrees
b)
78.46 degrees
c)
1.36 degrees
d)
11.54 degrees
100 %
