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Good morning Sir/Madam, I am stuck with this question from previous year papers of NTSE(SAT-Maths). Please help me in solving this... If 3 equal circles of radius 3 cm each touch each other, then area of the shaded portion is ____________. Options and image in the attached image. Thank you.

Good morning Sir/Madam,
I am stuck with this question from previous year papers of NTSE(SAT-Maths). Please help me in solving this...
  1. If 3 equal circles of radius 3 cm each touch each other, then area of the shaded portion is ____________. Options and image in the attached image. Thank you.                                                               

Question Image
Grade:10

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student,
The triangle shown in between is an equilateral triangle with side length 6cm. and having each interior angle as 60degree.
Area of shaded portion = area of triangle (use the formula for equilateral triangle case) – area of 3 sectiors of the triangle (use the area of sector formula here).
I hope you will be able to solve now.
Thanks.

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