From a point outside the circle, 20 cm from the center of the circle

From a point outside the circle, 20 cm from the center of the circle, a tangent is drawn to the circle. Find the radius of the circle if the tangent segment is 16 cm.

We draw a circle, put a point outside the circle (I have B), draw a tangent line (AB) and connect points A and B with the center of the circle (O). As a result, we get a right-angled triangle ABO. (tangent property).
OV = 20 cm AB = 16 cm Find OA (radius).
According to the Pythagorean theorem:
OA ^ 2 + AB ^ 2 = OB ^ 2
Hence ОА = √ОВ ^ 2- AB ^ 2
ОА = √ 20 ^ 2-16 ^ 2 = √400-256 = √144 = 12
Answer: the radius of the circle is 12 cm