Three identical coins each of diameter 6 cm are placed as shown. Find the area of the shaded region between the coins.(Pi value - 3.14) (cube value - 1.732)
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Answer:
1 .458 cm²
Step-by-step explanation:
Three identical coins each of diameter 6 cm are placed as shown. Find the area of the shaded region between the coins.(Pi value - 3.14) (cube value - 1.732)
There will be Triangle formed between center of 3 coins
with each side = Radius + radius = Diameter = 6cm
Area of Triangle = (√3 / 4) *6² = 9√3 = 9*1.732 = 15.588 cm²
Equilateral Triangle has 60° Angles
so each arc sector is at 60°
Area of Each sector = (60/360)πR²
R = 6/2 = 3 cm π = 3.14
= (1/6)(3.14)*3²
= 4.71
Area of Three Sectors = 3 * 4.71 = 14.13 cm²
Area of Shaded Region = 15.588 - 14.13 = 1 .458 cm²
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