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9.1 - Angles, Arcs, and Their Measures
Angles, Arcs, and Their Measures
23
Mathematics
Undergraduate 1
01/12/2023

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Cards

Term
What is the #1 Rule of Adding / Subtracting Fractions?
Definition
They must have the same denominator.
Term
What is a perfect square?
Definition
It is another number squared: 1, 4, 9, 16, 25, 36, ...
Term
What is an angle?
Definition
Two rays or two line segments in a plane with a common endpoint.
Term
What is an angel?
Definition
It's not an angle. That is a common misspelling.
Term
What is a vertex?
Definition
The common endpoint of an angle.
Term
When is an angle positive?
Definition
When the rotation about the vertex goes in a counter-clockwise direction.
Term
When is an angle negative?
Definition
When the rotation about the vertex goes in a clockwise direction.
Term
What are the two sides of an angle called?
Definition
The initial side (where the angle starts) and the terminal side (where the angle ends).
Term
What makes two angles complementary?
Definition
When the sum of their measurements is 90 degrees.
Term
What makes two angles supplementary?
Definition
When the sum of their measurements is 180 degrees.
Term
What are coterminal angles?
Definition
Two angles with different measurements that start and end in the same place.
Term
What does it mean for an angle to be in standard position?
Definition
When the angle is on the x-y plane with its vertex at the origin and the initial side is along the positive x-axis.
Term
What is a quadrantal angle?
Definition
An angle in standard position with its terminal side on either the x-axis or the y-axis (so 0°, 90°, 180°, 270°, 360°, ...).
Term
What is an acute angle?
Definition
An angle between 0° and 90°
Term
What is a right angle?
Definition
An angle that is 90°
Term
What is an obtuse angle?
Definition
An angle between 90° and 180°
Term
What is a straight angle?
Definition
An angle that is 180°
Term
How many radians make up one-half of a circle?
Definition
[image] radians
Term
How many radians make up one circle?
Definition
[image] radians
Term
What is the formula for arc length?
Definition
[image]
where s is the arc length,
r is the radius,
and [image] is the angle (in radians)
Term
What is the formula for the area of a sector?
Definition
[image]
where A is the area,
r is the radius,
and [image] is the angle (in radians).
Term
To convert degrees into radians, multiply by ...?
Definition
[image]
Term
To convert radians into degrees, multiply by ...?
Definition
[image]
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