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Why is an inscribed angle that intercepts a semi-circle a right angle?
It is the consequence of one of the circle theorems and in some books, it is considered a theorem itself. The underlying proposition is that the angle subtended at the circumference of the circle by any arc of a circle is half the angle subtended at the centre. In the case of a semicircle, the arc is the half circle and the angle at the centre is the one that the diameter makes at the centre of the circle ie 180 degrees. So the angle at the circumference is half that ie 90 degrees.
What is a triangle in a circle that is formed by two chords and a diameter?
If a triangle is drawn in a circle with a diameter as the base of the triangle, then the angle opposite that diameter is a right angle. This is an extension of the theorem that the angle which an arc of a circle subtends at the centre of a circle is twice the angle which the arc subtends at the circumference. In the case of a diameter, then the angle subtended at the centre is 180° and thus the angle at the circumference is 90°.
How do you draw an angle 110 degree using ruler and compass?
Construct a circle and divide the circumference into 36 equal arcs Each arc will represent 10 degrees and 11 of them subtended to the circle's centre will create an obtuse angle of 110 degrees
When a body moves along a semicircle total angle subtended by it at centre of circle is?
Pie/2=22/7/2Angle in radians =Total length of the arc/radius of the circle
How do you define radian?
An informal definition: If you take a radius of a circle and wrap it around its circumference then the angle which that arc will make at the centre of the circle is 1 radian.More formally, a radian is 1/(2*pi) of a whole angle.
