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Central and Inscribed Angles

Interact with the diagram to answer the following questions. You can adjust the circle by dragging its points. 1. Use the formula below to find the degree measure of arc AC to the nearest degree. Enter your answer in the input box. 2. Make a conjecture about the measure of a central angle (angle ABC) and an inscribed angle (angle ADC) in comparison to the arc that each intercepts (arc AC).