write the therom of circle about 5page please..... help me my friends
Answers
Answered by
1
The angle at the centre is twice the angle at the circumference.
(Note that both angles are facing the same piece of arc, CB)
The angle in a semi-cicle is 90°.
(This is a special case of theorem 1, with a centre angle of 180°.)
Angles in the same segment are equal.
(The two angles are both in the major segment; I've coloured the minor segment grey)
Opposite angles in a cyclic quadrilateral add up to 180°.
The lengths of the two tangents from a point to a circle are equal.
CD = CE
The angle between a tangent and a radius in a circle is 90°.
Alternate segment theorem:
The angle (α) between the tangent and the chord at the point of contact (D) is equal to the angle (β) in the alternate segment*.
(Note that both angles are facing the same piece of arc, CB)
The angle in a semi-cicle is 90°.
(This is a special case of theorem 1, with a centre angle of 180°.)
Angles in the same segment are equal.
(The two angles are both in the major segment; I've coloured the minor segment grey)
Opposite angles in a cyclic quadrilateral add up to 180°.
The lengths of the two tangents from a point to a circle are equal.
CD = CE
The angle between a tangent and a radius in a circle is 90°.
Alternate segment theorem:
The angle (α) between the tangent and the chord at the point of contact (D) is equal to the angle (β) in the alternate segment*.
mahimakujur:
thank you very much,
Similar questions