The distance between the center of the circle O to the chord CD is 13 cm. The COD angle is 90 degrees. Find the length of the chord CD
| November 21, 2020 | education
Let’s draw the height of the OP from the vertex O of the right angle to the chord.
Consider a triangle COD-isosceles (because OC = OD-radii of a circle), rectangular.
So the OR is not only the height, but also the bisector and median.
That is, angle POC = angle POD = 45 degrees
CP = PD = OP * tg45 = OP = 13cm.
Hence: CD = 2 * 13 = 26cm.
Answer: CD = 26cm.
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