Download Angles of Circles Worksheet

Segments and Arcs
Name: ____________________
Geometry
Hour: ______________
Find the indicated value for each problem below.
1.
2.
Find the value of x.
Find the length of arc BDC.
Find the value of y.
3.
Find the value of x.
Find the value of y.
4.
Use the circumscribed polygons below to find the indicated values.
5.
6.
*Note: Image from: http://www.wtamu.edu/academic
RM = 4x - 8 and RP = 8x - 32
TP = 3y + 12 and TQ = 8y - 8
SM = 2.5z - 4 and SQ = -1.5z + 12
What kind of triangle is circumscribed
about circle O?
If arcPN  98 0 , what is mPDN ?
If the measure of arc NM is 78º, what
is mNCM ?
Make a connection between the sum of
the interior angles of a quadrilateral and
the sum of the arcs of the circle.
Use the theorems of circles to find the indicated values.
7.
8.
The measure of arc QS is 65º. What is
the measure of arc QPS?
In the figure above, the measure of arc
DC is 105º and the measure of arc AB
is 195º. Find mDLC.
9.
10.
Find the value of x.
In the figure above, the measure of arc
FD is 45º, the measure of arc SC is
4x + 51 and mFED  3x  3 . Find
the measure of arc SC.