What is a central angle in a circle?
Review: Central, Inscribed Angle and Arc Length

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that intersect the circle.
2.
FLASHCARD QUESTION
Front
Define an inscribed angle.
Back
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.
3.
FLASHCARD QUESTION
Front
What is the relationship between a central angle and an inscribed angle that subtend the same arc?
Back
The measure of a central angle is twice the measure of the inscribed angle that subtends the same arc.
4.
FLASHCARD QUESTION
Front
How do you calculate the arc length of a circle?
Back
Arc length can be calculated using the formula: Arc Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.
5.
FLASHCARD QUESTION
Front
What is the formula for finding the circumference of a circle?
Back
Circumference = 2πr, where r is the radius of the circle.
6.
FLASHCARD QUESTION
Front
If the radius of a circle is 10 ft, what is the circumference?
Back
Circumference = 2π(10) = 20π ft ≈ 62.83 ft.
7.
FLASHCARD QUESTION
Front
What is the measure of an arc in degrees if the central angle is 180°?
Back
The measure of the arc is also 180°.
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