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ANGLES of circles
Special Right Triangles
ARCS AND ANGLES
Trig Ratios
100
An angle which is made up of two radii whose vertex is the center of the circle.
What is the central angle?
100

Formula for 45-45-90 right triangles

x,x, x radical 2

100
This has the same measure of the central angle.
What is intercepted arc?
100

State the saying for trig ratios

what is soh cah toa

200
This angle has a measure that is half the difference of its intercepted arcs.
What is an exterior angle?
200

Formula for 30-60-90 right triangles

x, x radical 3, 2x

200

The measure of the major arc if the minor arc's measure is 40 degrees

What is 320?

200

When do you use a trig ratio vs the trig inverse to solve a problem

trig ratio to find side

trig inverse to find angle

300
This is formed when two chords intersect at the same point on a circle.
What is an inscribed angle?
300

Find the long leg of a 30-60-90 when the short leg measures 7


what is 7 radical 3


300
The measure of the intercepted arc if the inscribed angle measure is 53 degrees?
What is 106?
300

Draw a picture with an angle of elevation

Teacher will check

400
The measure of a central angle is ________________ the measure of its intercepted arc.
What is equal or the same as?
400

Find the leg of a 45-45-90 when the hypotenuse is 8

what is 4 radical 2

400

The measure of the exterior angle if the major arc measures 320 and the minor arc measures 40

What is 140?

500
The measure of the intercepted arc of a circle is 122 degrees. The measure of any inscribed angle whose endpoints are on that arc is ______________.
What is 61 degrees?
500

Find the length of the hypotenuse of a 45-45-90 if the leg measures 8 radical 3

8 radical 5

500
The measure of the angle formed by a radius and its tangent line.
What is 90 degrees?