Question

A chord of a circle of radius 12cm subtends an angle of 120° at the centre . find the area of the corresponding segment of the circle .

Answer 1

Area of a circle equals pie × radius squared × angle subtended/360°

Radius=12cm

Pie=3.142

Angle=120°

120/360=1/3

1/3×3.142×12×12=150.816

150.816cm2

Answer 2

Solution :-

Given -

Radius = 12 cm

θ = 120°

Area of sector formed by the arc = (θ/360°) × πr²

⇒ (120/360) × 22/7 × 12 × 12

⇒ 1/3 × 22/7 × 12 × 12

⇒ 3168/21

= 150.857 cm²

So, the area is 150.857 cm²

Answer.