
Central Angles, Arc Measure, and Arc Length
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a central angle?
Back
A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that extend to the circle's circumference.
2.
FLASHCARD QUESTION
Front
How is the measure of an arc related to its central angle?
Back
The measure of an arc is equal to the measure of its central angle, measured in degrees.
3.
FLASHCARD QUESTION
Front
What is the formula for finding the length of an arc?
Back
Arc Length = (Central Angle/360) x 2πr, where r is the radius of the circle.
4.
FLASHCARD QUESTION
Front
If the central angle is 90 degrees, what fraction of the circle does the arc represent?
Back
The arc represents 1/4 of the circle.
5.
FLASHCARD QUESTION
Front
What is the relationship between the degree measure of an arc and the circle's circumference?
Back
The degree measure of an arc is a fraction of the total 360 degrees of the circle, which corresponds to the fraction of the circle's circumference.
6.
FLASHCARD QUESTION
Front
How do you convert arc length to degrees?
Back
To convert arc length to degrees, use the formula: Degrees = (Arc Length / Circumference) x 360.
7.
FLASHCARD QUESTION
Front
What is the circumference of a circle with a radius of 5 cm?
Back
Circumference = 2πr = 2π(5) = 10π cm or approximately 31.42 cm.
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