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Unit 7 - Circles Review
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How many points on a circle does a tangent line pass thru?
1
What is the relationship between an inscribed and central angle?
The measure of an inscribed angle is HALF the measure of a central angle
How is a circle's sector area different from its arc length?
Sector area requires us to square the radius and arc length requires us to multiply the radius by 2.
What are the 2 things you need to calculate the arc length and sector area of a circle?
Radius and Central Angle
What is a circumscribed scircle?
A circle that passes/touches all vertices of a polygon.
What is the formula for the circumference of a circle?
C = 2Ï€r
The point of a circumscribed CIRCLE where all 3 of a triangle's perpendicular bisectors meet
Circumcenter
The point of a circumscribed CIRCLE where all 3 of a triangle's angle bisectors meet
Incenter
In circle S with ∠RST= 112 degrees and RS = 7, find the area of the sector RST. Round to the nearest tenths and keep in terms of pi!
15.2Ï€
In circle E with ∠DEF = 48 degrees and DE = 6, find the area of the sector DEF. Round to the nearest tenths and keep in terms of pi!
4.8Ï€
In circle T with ∠STU = 162 degrees and ST = 19, find the area of the sector STU. Round to the nearest tenths and keep in terms of pi!
162.5 units
In circle Q with ∠PQR = 30 and PQ = 5 units, find the length of arc PR. Round to the nearest hundredth.
PR = 2.62
In circle G with ∠FGH = 86 and RS = 16 units, find the length of arc FH. Round to the nearest hundredth.
FH = 24.02
In circle S with ∠RST = 102 and RS = 6 units, find the length of arc RT. Round to the nearest hundredth.
RT = 10.68
Name the diameter for circle O
HI
Which of the rays/segments represents the radius of circle O?
OK, OI, OH
Which of the rays or segments below is a chord of circle O?
IK
How do you find the sector area of a circle?
Divide central angle by 360, multiply by the radius square
What is the formula for the area of a circle?
A=Ï€r^2
This is a line perpendicular to a radius intersecting through one point is the ________________________
Tangent Line
This is the region of a circle enclosed by two radii
Sector
This is an an angle whose vertex is on the edge of the circle.
Inscribed Angle
This is an an angle whose vertex is at the center of the circle.
Central Angle
This is the portion of a circle between 2 points on the edge
Arc
What is a line segment with endpoints on a circle’s edge
Chord
What is a line segment from center of a circle to its edge
Radius
What is a line segment passing through center of a circle
Diameter
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