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Class 9 - CirclesAngle in a semicircle is a right angle, Circles, Class 9 math tutorials, math, mathemafia, mathematics, NCERT, theorems on circles
Theorem: Prove that angle in a semicircle is a right angle. OR
Prove that angle subtended by a diameter is always a right angle.
The proof of this theorem 10.8 is a prerequisite to prove this theorem, in which we proved that the angle subtended at center of a circle by any arc is double the angle subtended anywhere on rest of the circle. Using that result we can easily prove this theorem.
Chapter 10 – Circles