A chord BC = 8cm is drawn in the circle O. Find the distance from the center to the segment BC if the radius = 5cm.
| March 30, 2021 | education
The distance from the center of the circle to the BC chord will be the perpendicular OH, which will be the height of the BOC triangle.
The ВOС triangle is isosceles, since OB = OС = R = 5 cm.Then the OH height will also be the median of the ВOС triangle, and then ВH = CH = BC / 2 = 8/2 = 4 cm.
In the right-angled triangle BOН, we determine the length of the leg OH using the Pythagorean theorem.
OH ^ 2 = OB ^ 2 – BH ^ 2 = 5 ^ 2 – 4 ^ 2 = 25 – 16 = 9.
OH = 3 cm.
Answer: The distance from point O to the BC chord is 3 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.
