Properties in Circles
Angles and Circles
Segments and Circles
Circle Equations
Area/Circumference of a Sector
100
A central angle and its intercepted arc are ____________
Congruent / Equal
100
If AE=4, EB=9 and CE=3, find the length of EF.
EF = 12
100
In circle F, secants ABC and ADE are drawn. If AD=4, AE=9, and AC=12, what is the measurement of AB?
AB = 3
100
What is the center and radius of the circle:
(x-6)^2+(x+7)^2=100
Center: (6,-7)
Radius = 10
100
In circle O, radius OB=10 and the measurement of angle AOB=72. Find the area of the shaded region. Leave your answer in terms of pi.
20pi
200
A semicircle is _______ degrees
180
200
If measurement of arc QS=39 and measurement of arc PT=101, find the measurement of angle R.
m<R=31
200
If SG=3, GF=4, and AG=2, what is the length of GD?
GD = 6
200
Write the equation of the circle with a center at (-1,9) with a radius of 3
(x+1)^2+(y-9)^2=9
200
In circle O, m<AOB=120 and radius OB=6. Find the length of arc AB. Leave your answer in terms of pi.
L = 4pi
300
An inscribed angle is __________ its intercepted arc.
Half
300
In circle M, diameter GH and chord JL intersect at K. If the measurement of arc HL=44 and the measurement of arc HJ=84, what is the measurement of angle JKG?
m<JKG = 70
300
In circle %, secant PQR and tangent RS are drawn. If PR=16 and RS=12, what is the length of QR?
QR = 9
300
What is the center and radius of a circle with the equation:
x^2+(y+12)^2=225
Center: (0,-12)
Radius = 15
300
In circle O, inscribed angle ABC and central angle AOC are drawn. If OA=4 and m<ABC=36, find the area of the shaded sector. Round your answer to the nearest tenth of a square inch.
A is about 10.1 inches squared
400
The opposite angles of an inscribed polygon are _____________
Supplementary
400
If the measurement of arc BA= 88, the measurement of arc AE=114, and the measurement of arc ED=108, what is the measurement of angle C?
m<C=32
400
In circle S, secants QAZ and CXZ are drawn. If QA=7, AZ=5, and XZ=4, find the length of CX.
CX = 11
400
Write the equation of a circle that has a center at (-8,0) and a radius of
\sqrt 21
(x+8)^2+y^2=21
400
An electron travels along a circular path with a radius of 4.6 miles. What is the number of miles the electron traveled during an interval when the central angle formed by the electron’s path was 220°? Round your answer to the nearest hundredth of a mile.
17.66 miles
500
If a diameter is perpendicular to a chord, then the diameter _____________ a(n) __________ and a(n) _______
bisects, chord, arc
500
In circle Y, the ratio of arcs QW:WE:ER:RQ is equal to 3:7:3:2. Find the measurement of angle WTE?
m<WTE=108
500
In circle D, diameter AB and chord XY are drawn. If radius AD = 8, FB=4, and FY=8, find the length of XF.
XF = 6
500
Find the center and radius of the circle from the equation:
x^2+y^2+10x-6y+28=0
Center: (-5,3)
Radius = 9
500
In the diagram of circle L, the area of the shaded sector KLM is 7.5pi and LK=5. Find the measurement of central angle KLM.
m<KLM=108