Question

Three circles, each having radius equal to 4 cm, are

Q: Answer-Three circles, each having radius equal to 4 cm, are drawn with the vertices of an equilateral trian...

Area of the triangle 34 82 163 cm2 Total area of the sectors of the circles that are lying on the triangle 3 60360 42 8 cm2 Hence, required area 163 - 8 8 23 - cm2

drawn with the vertices of an equilateral triangle as the centres. If the length of each side of the triangle is equal to 8 cm, then what is the area (in cm2) of the portion of the triangle that is NOT covered by the sectors of the circles?

A 16(2√3 – π)

B 8(2√3 – π)

C 8(2√3 – π/2)

D 16(2√3 – π/2)