Question

(i) Prove : The angle inscribed in a semicircle is a right angle.
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Answer 1

Answer:

Prove that the angle in a semicircle is a right angle.

∴∠AOB=2∠APB (∠AOB is the subtended at center which is equal to 180∘ and ∠APB is the angle made at any point on the circle.) Hence, it can be said that the angle in a semicircle is a right angle.

Answer 2

Answer:

Prove that the angle in a semicircle is a right angle.

∴∠AOB=2∠APB (∠AOB is the subtended at center which is equal to 180∘ and ∠APB is the angle made at any point on the circle.) Hence, it can be said that the angle in a semicircle is a right angle.