A chord of a circle of radius 14 cm
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A chord AB of a circle, of radius 14 cm makes an angle of 60° at the centre of the circle. Find the area of the minor segment of the circle. (Use )
Asked by admin @ in Math viewed by 413 People
A chord AB of a circle, of radius 14 cm makes an angle of 60° at the centre of the circle. Find the area of the minor segment of the circle. (Use )
Answered by admin @
Answer:
Step-by-step explanation:
Given :
Radius of a circle,r = 14 cm
Angle at the centre of a circle, θ = 60°
A = {60°π/360° - sin 60°/2 cos 60°/2 }× 14²
A = {π/6 - sin 30°cos 30°} × 196
A = {π/6 - 1/2 × √3/2} × 196
A = {π/6 - √3/4 } × 196
A = {196π/6 - 196 × √3/4}
A = {196 × 22/7× 1/6 - 196 × 1.732 × 1/4}
[√3 = 1.732]
A = 102.66 - 84.68
A = 17.80 cm²
Area of the minor segment = 17.80 cm²
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