PROOF :  THE ANGLE INSCRIBED IN A SEMICIRCLE IS A RIGHT ANGLE
Channel: Study Mate
Date: 2020-05-07

PROOF :  THE ANGLE INSCRIBED IN A SEMICIRCLE IS A RIGHT ANGLE
Theorem Related To Circle

Related terms
Angle : an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint

Circle : A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre

SemiCircle : a semicircle is a one-dimensional locus of points that forms half of a circle. The full arc of a semicircle always measures 180°

Inscribed Angle : In geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle

Right Angle : In geometry and trigonometry, a right angle is an angle of exactly 90°, corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.


Some Important Theorem Related to circle are   

Inscribed angles subtended by the same arc are equal.

Central angles subtended by arcs of the same length are equal.

The central angle of a circle is twice any inscribed angle subtended by the same arc.

Angle inscribed in semicircle is 90˚.

An angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

The opposite angles of a cyclic quadrilateral are supplementary




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