The right angle ABC is inscribed in a circle and rests on the AC chord. Find the radius of the circle if AC = 5cm.

univerkov | May 19, 2021 | education

Since the right angle ABC is inscribed in the circle, it rests on the arc AC. Then the degree measure of the arc AC is equal to two degree measures of the inscribed angle.

Arc AC = 2 * 90 = 180.

Then the chord AC is the diameter of the circle, which means R = AC / 2 = 5/2 = 2.5 cm.

Answer: The radius of the circle is 2.5 cm.

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