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In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle.

Typically, it is easiest to think of an inscribed angle as being defined by two chords of the circle sharing an endpoint.

The basic properties of inscribed angles are discussed in Book 3, Propositions 20-22 of Euclid's Elements. These are the inscribed angle is half the central angle, inscribed angles on the same arc of a chord are equal and the sum of the two distinct inscribed angles of a chord is 180°.

enable s be the arc length enable r be the radius enable a be the perspective measured in radians. If we had an entire circle of radius r, all of us recognize the perspective degree may be 2pi and the arc length may be 2pi * r. If we've a million/2 of a circle, then all of us recognize the perspective degree may be pi and the arc length may be pi * r. as a outcome, we may be able to obviously see by ability of those examples and the different you may favor to do this: s = a * r contained in the classic formula, a is replaced with theta, yet i'm too lazy to tug up the nature map this early contained in the morning.