Find the degree measure of the angle between the diameter AB of the circle and the chord AC
| April 12, 2021 | education
Find the degree measure of the angle between the diameter AB of the circle and the chord AC, which is equal to the radius of the circle.
From point O, the center of the circle, construct the radius to point C. OС = R.
By condition, the chord OС is also equal to the radius of the circle, then OA = OС = AC = R, and therefore, the AOC triangle is equilateral, and then all its internal angles are 60.
Answer: The angle between the chord and the diameter is 60.
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