Unit Circle
What are the x and y values of 90 degrees?
(0,1)
Determine if the point (2, 3) is on, inside or outside the circle if the equation is (x – 2)2 + (y + 3)2 = 29
36 > 29
Outside the circle
Convert this to standard form: x2 + y2 - 12x - 8y + 27 = 0
(x - 6)2 + (y - 4)2 = 25
Convert 120° to radians.
2π/3
Find the cos of 30 degrees
√3/2
What are the x and y values of 30 degrees?
(√3/2 , 1/2)
If the circle equation is (x - 3)2 + (y - 2)2 = 49, is the point (-4, 2) in, on, outside or inside the circle?
49=49
On
If the equation of a circle is (x - 5)2 + (y + 3)2 = 196, find the center and the radius.
Center: (5,-3)
Radius: 14
Convert 3π/2 to degrees.
270°
Find the sin of π
0
What is the degree value of the sin and cosine values (-√2/2 , √2/2)
135 degrees
Is the point (2, 4) on, outside or inside the circle if the center is (5,-1) and the radius is 3?
34 > 9
Outside the circle
Determine the center and the radius from this equation: x2 + y2 + 14x − 8y + 56 = 0
Radius = 3
Center = (−7,4)
Convert 190° into radians.
19π/18
Find cos 150°
-√3/2
What is the degree value of the x and y values (-1/2 , -√3/2)
240 degrees
If the circle equation is x2 + y2 - 8x + 8y + 24 = 0, is the point (2,-2) on, outside, or inside the circle?
8=8
On the circle
Write the equation of a circle which has a center at (3,-2) and has a radius of 11.
(x - 3)2 + (y + 2)2 = 121
Convert π/7 into degrees. Round to the nearest tenth if necessary.
25.7°
Find the sin 3π/4
√2/2
What are the sin and cosine values of 11π/6?
(√3/2 , -1/2)
Where is the point (-3, 15) if the center of the circle is (-6, -5), and the point (34, -25) is on the circle?
409<2500
Inside the circle.
If the circle equation is x2 - 9x + y2 -4.75 = 0, write it in standard form.
(x - 4.5)2 + y2 = 25
Convert 5π/9 into degrees. Round to the nearest tenth if necessary.
100°
tan(7π/4)
-1