The angle subs tended by a chord at the center is 100 then what is the angle subtended by the chord at any point on the remaining part of the circle
Answers
Answer:
Step-by-step explanation:
The angle subtended at the centre is the angle subtended by an arc or a chord or a sector at the centre of a circle. It is referred to as the central angle. Just visualise a V drawn from the ends of a chord to the centre.
Similarly the angle subtended at the circles is the angle made by a chord to the circle. Just visualise a V drawn from ends of a chord to a point on the circle.
So two Vs can be visualised from a chord, one to centre, one to the circle. The angle subtended at the centre is double the angle subtended at the circle by the arc, chord, sector.
Those two profound facts of circles, logically leads to several other facts.
The diameter is the biggest chord and infinite diameters are possible. In such cases, the central angle is 180° and the angle subtended at the circle is 90°. So logically, the angle subtended at the semicircle is right angle, that's 90°.
The central angle will be <180° in a minor arc and >180° (reflex angle) in a major arc.
The central angle around the centre is 360° and so the sum of opposite angles off cyclic quadrilateral will be supplementary, that's 180°. Logically if one angle in a cyclic quadrilateral is acute, the other will be obtuse such that they are supplement to it. Only in cyclic squares and rectangles the opposite angles will be right angles, that's 90° each.
Step-by-step explanation:
Answer in the figure
Hope this will help you
