Question

Part A:

Minor arc AR measures 45 degrees. What is the measure of its major arc?

Part B:
Minor arc AR measures 45 degrees. What is the measure of its central angle?

Answer 1

Answers:

• A) 315 degrees
• B) 45 degrees

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Step-by-step explanation:

• A) The minor and major arcs must add to a full 360 degree circle. Use the formula minor+major = 360. Replace "minor" with 45 and it solves to get major = 315. Put another way: major = 360-minor = 360-45 = 315.
• B) The central angle is equal to the minor arc measure.