A tangent AC (C-tangency point) is drawn to a circle with center O. Find the radius of the circle if OA = 6 cm, AC = 2 √5 cm.
| March 20, 2021 | education
Construct the radius of the OC to the point of tangency C.
The radius of the circle drawn to the tangent point is perpendicular to the tangent itself, then the AOC triangle is rectangular.
In a right-angled triangle AOC, according to the Pythagorean theorem, we determine the length of the leg OC.
OC ^ 2 = OA ^ 2 – AC ^ 2 = 36 – 20 = 16.
OC = R = 4 cm.
Answer: The radius of the circle is 4 cm.
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