show that angle in a semicircle is 90 degrees
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Given:- PQ is a dimeter of a circle C (O,r) and angle PRQ is an angle in a semi circle.
To prove:- angle PRQ is a right angle
[angle PRQ = 90°]
Proof:- Since, The angle subtended by an arc of a circle at its centre is twice the angle formed by the same arc at a point on the circle .
=) angle POQ = 2 angle PRQ.
=)180° = 2 angle PRQ
[ angle POQ is 180° as POQ is as straight line]
=) angle PRQ = 180° / 2
=) angle PRQ = 90°
Hence, Proved
HOPE IT HELPS
Mark as brainliest plzz
Given:- PQ is a dimeter of a circle C (O,r) and angle PRQ is an angle in a semi circle.
To prove:- angle PRQ is a right angle
[angle PRQ = 90°]
Proof:- Since, The angle subtended by an arc of a circle at its centre is twice the angle formed by the same arc at a point on the circle .
=) angle POQ = 2 angle PRQ.
=)180° = 2 angle PRQ
[ angle POQ is 180° as POQ is as straight line]
=) angle PRQ = 180° / 2
=) angle PRQ = 90°
Hence, Proved
HOPE IT HELPS
Mark as brainliest plzz
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Answer:
you will have to do construction
Step-by-step explanation:
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