Circle Cheat Sheet Vocabulary: Label each special segment/line on the given circles Radius Diameter Chord

O

Secant Tangent Point of tangency

O

Tangents: Identify each special relationship on each diagram

O

O

Angles: For each angle, do the following:

(a) Name the type of angle labeled with an x (b) Write the formula that you would use to solve for x

(a) (b)

(a) (b)

(a) (b)

(a) (b)

bax

x ab

x ab

(a) an angle formed by … (b)

(a) an angle formed by … (b)

(a) an angle formed by … (b)

Polygons: For each of the inscribed polygons, illustrate the special angle values.

Segments: For each segment length, do the following: (a) Name how the segments are formed

(b) Write the formula that you would use to solve for one of the missing lengths

y

x

b

a

(a) a segment formed by … (b)

b

a

y

x

(a) a segment formed by … (b)

ba

x

(a) a segment formed by … (b)

Distance: Label each length in the given diagram and write an equation Circles - diameter - radius - distance from the center to the chord - chord length

Spheres - radius of the sphere - radius of the circle - distance from the center to the plane (cross-section)