# The radii OA, OB and OC are drawn in the circle. Find the length of the chord AB if the angle

September 15, 2021 | education

| **The radii OA, OB and OC are drawn in the circle. Find the length of the chord AB if the angle OAB = angle OBC = 55 degrees and BC = 32 cm.**

In triangles AOB BOC, the lengths of the sides OB, OB, OC are equal to both the radii of the circle, then the triangles ABO and BOC are isosceles, which means the angle OA = BOC, the angle BOC = BCO.

Since, by condition, the angle ОВС = ОАВ = 55, then the angle ОАВ = ОВА = ОВС = ОАВ = 55.

Angle AOB = BOC = (180 – 55 – 55) = 70, then the triangle AOB = BOC on two sides and the angle between them, which means AB = BC = 32 cm.

Answer: The length of the chord AB is 32 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.