in the given figure ABC is an equilateral triangle inscribed in a circle of radius 4 cm find the area of the shaded region
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Answer:
9.83 cm^2
Step-by-step explanation:
Given = radius of circle = 4 cm
To find : Area of ∆
Proof = Area of eq ∆ in circle = 1/2 × 3√3 r^2
Area = 1/2 ×3√3×4×4
Area = 12√3 cm ^2
Hence, area is 12√3 cm ^2
Area of shaded region = area of circle - area of triangle.
area of shaded region = 1/3 ×[50-28-12√3]
= 1/3 [ 50-28-20.78]
= 9.83 cm^2
Hence, area of shaded region is 9.83 cm^2
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