Find the value of the inscribed angle of the circle if the arc on which it rests is 102 degrees.
| February 26, 2021 | education
A circle is a closed curve, all points of which are equidistant from its center.
An arc is the part of a circle between two radii.
The degree measure of the arc of a circle is equal to the degree measure of the central angle that rests on it.
An inscribed angle is an angle whose vertex is located on a circle and the sides intersect that circle.
The degree measure of the inscribed angle is equal to half the degree measure of the arc on which it rests:
∠АСВ = 1/2 UАВ;
∠АСВ = 1/2 · 102º = 51º.
Answer: the value of ∠АСВ is equal to 51º.
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