find the area of the shaded region if the radius of each of the circles is 1 cm.
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Answer:
(√3 - π/2) cm²
0.16 cm²
Step-by-step explanation:
Radius of each circle = 2cm
Triangle formed here is Equilateral Triangle
with each side = 2 cm
Area of Equilateral Triangle = (√3 / 4) 2² = √3 cm²
Area of Shaded region = Area of equilateral Triangle - 3 Arcs inscribed in Triangle
Triangle is an equilateral triangle so Angle = 60°
Area of one arc = (60°/360°) π (1)² = π/6 cm²
Area of 3 Arcs = 3 * π/6 = π/2 cm²
Area of shaded region = (√3 - π/2) cm²
= 1.73 - 3.14/2
= 1.73 - 1.57
= 0.16 cm²
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