Math, asked by TheRealSardar1813, 10 months ago

BA and BC are two tangents drawn to a circle with Centre O and of unit radius from an external point P if they are both incline at an angle of 60 degree with each other find the area of shaded region​

Answers

Answered by amitnrw
4

Area of Shaded region =0.68 sq unit

Step-by-step explanation:

both Tangents inclined at an angle of 60° with each other

60°/2 = 30°

Tan 30°  = OA/BA

OA = Radius = 1

=> 1/√3  = 1/BA

=> BA = √3

Area of Δ OBA = (1/2) OA * BA

= (1/2) * 1 * √3

Similarly area of OBA = (1/2) OC * BC

= (1/2) * 1 * √3

Area of OABC = √3 = 1.73

Sector angle = 120°

Area = (120/360)πr²

= (1/3) * (22/7) * 1²

= 22/21

= 1.05

Area of Shaded region =  1.73 -  1.05

= 0.68 sq unit

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