Circle Equations
Radians
Arc Length & Sector Area
Unit Circle
Special Right Triangles
100
Graph the circle with equation x2 + y2 = 9
100
Convert 180o to radians
pi
100
What is the length of arc AB?
9.4 units
100
Convert all these degrees to Radians:
30o 45o 60o 90o
pi/6 , pi/4 , pi/3 , pi/2
100
the 45-45-90 rules come from what shape originally?
A Square
200
(x - 3)2 +(y + 4)2=25, the center point of this equation is..
(3, -4)
200
Convert (3pi)/4 radians to degrees.
135o
200
What is the area of sector ACB?
18pi approx 56.55
200
Each x coordinate on the Unit Circle represents what trig ratio?
cos(theta)
200
The 30-60-90 rules come from what shape originally?
Equilateral Triangle
300
(y - 1)2 + (x - 5)2 = 25, the radius of the circle is..
5
300
Convertpi/3to degrees
60o
300
A circle has a circumference of C=8pi
Find the radius.
r = 4
300
Each y coordinate on the Unit Circle represents what trig ratio?
sin(theta)
300
What is the length of d?
12
400
(x - 2)2 + (y + 5)2 =17, the diameter of the circle is..
r = sqrt(17)
d = 2sqrt(17)
400
Find the arc length of a sector of a circle whose radius is 18 in. and the central angle is (3pi)/4
(27pi)/2 in
400
Find the length of the red arc and the area of the sector bounded by the red arc.
A.L. = 7.7 units
S.A. = 15.4 units2
400
what is
cos(pi/6) ?
1/2
400
What is the measure of the long leg?
7sqrt(3)
inches
500
x2 + y2 +16x - 34y + 304 = 0, the center point and radius of the circle are...
center: (-8,17)
radius = 7
500
If an object travels in a circular path 10 miles from the center of rotation a total distance of 75 miles, how many revolutions did the object complete. Round to the nearest hundreth.
1.19 revolutions
500
The arc length of a sector of a circle is 18cm. If the radius of the circle is 16cm, what is the central angle of that slice? Round to the nearest tenth.
64.5^o
500
True or False:
sin(theta)/cos(theta) = tan(theta)
TRUE
500
The long leg of a 30-60-90 triangle is 3/7 cm. Find the length of the hypotenuse as an exact fraction.
(2sqrt(3))/7 cm