In the accompanying diagram of circle O, and . Find the value of x.
xABCm 260xACm
x=20
Given the circle below with diameter , find x. AB
x=90°
Given a circle with the center indicated, find x.
x=40
True or False: In the same circle, or
congruent circles, congruent central
angles have congruent arcs.
True
Given two secants shown in the diagram, find the number of degrees in the angle labeled x.
x=60°
In the diagram, the segments shown are tangent to the circle. Find the value of x.
x=5
In the diagram, tangent and secant are
drawn to circle O from point A, AB=6 and AC=4. Find AD.
AB ACD
AD=9
How many common tangents can be drawn for
two externally tangent circles?
3 tangents
Given tangent to the circle shown. Find the measure of the arc designated by x.
AC
260
Given the circle shown with two tangents to the circle from a common external point. Find the measure of
the angle marked x.
80
Given the circle in the diagram with two intersecting chords. Find the length x.
x=8
In the diagram, secant intersects circle O at D, secant intersects circle O at E, AE=4, AC=24 and AB=16. Find AD.
AB
AC
AD=6
Given a circle with two secants as shown in the diagram. Find the value of the arc designated by x.
x=25
In the given diagram of the circle below with radius 5. Find the length of the segment labeled x.
x=4
Given: Tangent , diameter , and secant in circle O. What two sets of congruent angles can be used to prove ?
AD
CD AC
DBCADC ~
and 11 4ADC
Given: Circle O with diameter , and . Find .
CD CDAB ||
80ABm
CAm
50CAm
Given the circle in the diagram with the indicated center. Find the measure of
the arc marked x.
x=55
Given: in circle O. Which method can be used to prove that ?
ACAB
ABOACO
SSS Postulate
SAS Postulate ASA Postulate
A cathedral window is built in the shape of a semi circle. If the window is to contain 3 stained glass sections of equal size, what is the area of each section to the nearest square foot?
3 ft2
Two chords intersect within a circle to form an angle whose measure is 53°. If the intercepted arcs are given by 3x+3 and 10x-14, find the measure of the larger arc.