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Angle AOB is a central angle. A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). [1]
The angle subtended by a complete circle at its centre is a complete angle, which measures 2 π radians, 360 degrees, or one turn. Using radians, the formula for the arc length s of a circular arc of radius r and subtending a central angle of measure 𝜃 is =, and the formula for the area A of a circular sector of radius r and with central ...
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that intercepts the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.
Circle theorem may refer to: Any of many theorems related to the circle; often taught as a group in GCSE mathematics. These include: Inscribed angle theorem. Thales' theorem, if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle ∠ABC is a right angle. Alternate segment theorem. Ptolemy's theorem.
Casey's theorem; Circle packing theorem; Clifford's circle theorems; ... Five circles theorem; I. Inscribed angle; Inscribed angle theorem; Intersecting chords theorem;
Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the integer part. [2] The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle.
Lauren Betts had 25 points and 12 rebounds and No. 1 UCLA shut out Indiana for more than eight minutes in the first half of a 73-62 victory on Saturday in its first visit as a Big Ten Conference ...
Degree (angle) – Unit of plane angle where a full circle equals 360° Diameter – Straight line segment that passes through the centre of a circle; Disk (mathematics) – Plane figure, bounded by circle; Horn angle – Type of curvilinear angle; Measurement of a Circle; π – Number, approximately 3.14 List of topics related to π