Download CLASSROOM COPY – DO NOT WRITE ON THIS! CRS PPF 703

CW#91H: Arc Measures
Honors Geometry
CLASSROOM COPY – DO NOT WRITE ON THIS!
CRS
Objective
PPF 703 - Use relationships among circles, arcs, and distance of a circle
13.4 Identify and define angles and arcs related to circles (central angle, minor and major arcs, semi-circles)
13.5 Find arc measures
Review/Homework Quiz!
1) Assume that lines that appear to the tangent are
tangent. O in the center of the circle. Find the value
of x to the nearest tenth.
3) Find the angle measure indicated. Assume that
lines which appear to be tangent are tangent.
2) Circle O is inscribed in triangle ABC. Find the
perimeter of triangle ABC.
4) A dirt bike chain fits tightly around two gears.
The chain and gears form a figure like the one
shown below. Find the distance between the
centers of the gears.
Reference the construction activity involving arc measures.
New Stuff:
*Stress that central angles have the same measure as their arcs!
*Naming convention: minor arcs = 2 letters, major arcs = 3 letters, semicircle = 2 or 3
*MEASURE is in all caps because we MEASURE DEGREES of arc (tomorrow we will find LENGTH of arc)
PUSH IT TO THE LIMIT.
Example 1 (in notebooks): DA and EB are diameters of the circle to the left.
i. Identify the given arc as a major arc, minor arc, or semicircle
ii. Find the arc measure.
a. mDC
b. mDB
c. mCDA
d. mCE
Example 2: Refer to the circle graph. Find each measure.
a. mCD
b. mFE
c. mAC
Example 3: Line r and line s are tangent to the circle. Find w.
PUSH IT TO THE LIMIT.
e. mAD
CW#91H: Arc Measures
Honors Geometry
CLASSROOM COPY – DO NOT WRITE ON THIS!
CRS
Objective
PPF 703 - Use relationships among circles, arcs, and distance of a circle
13.4 Identify and define angles and arcs related to circles (central angle, minor and major arcs, semi-circles)
13.5 Find arc measures
Review/Homework Quiz!
1) Assume that lines that appear to the tangent are
tangent. O in the center of the circle. Find the value
of x to the nearest tenth.
3) Find the angle measure indicated. Assume that
lines which appear to be tangent are tangent.
NEW STUFF!
1) Find the value of x.
2) Circle O is inscribed in triangle ABC. Find the
perimeter of triangle ABC.
4) A dirt bike chain fits tightly around two gears.
The chain and gears form a figure like the one
shown below. Find the distance between the
centers of the gears.
2) Find the value of x.
PUSH IT TO THE LIMIT.
6)
36)
PUSH IT TO THE LIMIT.
37) DG and CF are diameters of the circle to the left.
i. Identify the given arc as a major arc, minor arc, or semicircle
ii. Find the arc measure.
a. mDE
b. mDG
c. mEF
d. mCG
e. mDGC
38)
Exit Slip
1) Use the figure below to answer the following
questions.
2) Find the value of ‘X’ in the picture below. ‘F’
marks the center of the circle.
Fill in the blank:
a.
is a ________.
b.
is a ________.
c.
is a ________.
3) What is a central angle?
4) What is the relationship between a central angle and the measure of its arc?
PUSH IT TO THE LIMIT.