Question

Prove all the theorems of circle?​

Answer 1

Hi mate,

here's your answer

• The angle subtended at the centre of a circle is double the size of the angle subtended at the edge from the same two points,
• Angles which are in the same segment are equal, i.e. angles subtended (made) by the same arc at the circumference are equal,
• The angles which are within a semicircle add up to 90°,
• Opposite angles in a cyclic quadrilateral add up to 180°,
• Alternate Segment Theorem, i.e. that the angle between a tangent and its chord is equal to the angle in the 'alternate segment'.

hope this helps you

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Answer 2

Answer:

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Step-by-step explanation:

Circle theorems: where do they come from?

The angle at the centre is twice the angle at the circumference.

The angle in a semicircle is a right angle.

Angles in the same segment are equal.

Opposite angles in a cyclic quadrilateral sum to 180°

The angle between the chord and the tangent is equal to the angle in the alternate segment.