Emma M.

asked • 05/21/18

in a circle, if an inscribed angle and a central angle intercept the same arc,

1. The central angle is larger
 
2. the inscribed angle is larger
 
3. the two angles by be equal
 
4. the two angles must be equal. 

1 Expert Answer

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Kenneth S. answered • 05/21/18

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Options 3 & 4 appear to be (when #3 is fixed) to be the same, which you would not want to have as distinct choices.
 
You should review the rules for measuring different types of angles associated with circles!
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Mark M.

By the Inscribed Angle Theorem, the measure of the inscribed angle is one-half the measure of the central angle that subtends the same arc.
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05/21/18

Kenneth S.

To the disapprover:  did you not see the obvious error in # 3 choice that student presented?
Any Geometry book will state that the measure of an inscribed angle equals half of the intercepted arc.
Had the student known this fact, the student would know the answer to this question.
It is GOOD ADVICE to tell students to "review the rules for measuring different types of angles associated with circles"
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05/21/18

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