What are the formulas for angles inside or on a circle for their arcs

What are the formulas for angles inside or on a circle for their arcs

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial reviews three types of angles related to circles: central angles, inscribed angles, and angles formed by chords or secants. Central angles have their vertex at the circle's center, and their measure equals the arc's measure. Inscribed angles have their vertex on the circle, and their measure is half the arc's measure. Angles formed by chords or secants inside the circle are calculated as half the sum of the measures of the arcs they intercept.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a central angle and how is it defined?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the difference between a central angle and an inscribed angle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the measure of an inscribed angle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for finding the measure of an angle formed by two chords or secant lines?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize how to find the measures of angles based on their position relative to the circle.

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