Question

in figure triangleABC is equalitrael, triangle
The radius of the circle is 4 cm
Find the area of shaded portion :
AB= 4 cm, AC=4cm, BC = 4 cm
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Answer 1

Answer:

We have, R=4cm

∴ AB=BC=CA=R √3 = 4 √3cm .............

[∵R= 2/3 h and h = √3/2a ∴ R = a/√3]

∠AOC=∠ABC=2×60∘ = 120∘

∴ Required area = 1/3 (Area of the circle - Area of Δ ABC)

⇒ Required area = 1/3 [πR2 − ✓3/4 ×(sides)2]

⇒ Required area = 1/3 [16π − √3/4 × (4√3) 2]

⇒ Required area = 1/3 (16π − 12√3)cm2 = 4/3(4π − 3√3)cm2

Step-by-step explanation:

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