Question

A chord of a circle of radius 14 cm subtends an angle of
90° at the ante find the area of the corresponding
major segment of the circle​

Answer 1

Answer:

Step-by-step explanation:

Given radius (r) = 14cm = OA = OB

θ = angle at centre = 60°

In ΔAOB, ∠A = ∠B [angles opposite to equal sides OA and OB] = x

By angle sum property ∠A + ∠B + ∠O = 180°

x + x + 60° = 180° ⇒ 2x = 120° ⇒ x = 60°

All angles are 60°, OAB is equilateral OA = OB = AB

Area of minor segment = area of sector – area of ΔOAB

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