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Grade 10Analytical Geometry

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 for Good morning Sir/Madam, I am stuck with this ques
Profile image of Shantanu
10 Years agoGrade 10
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1 Answer

Profile image of Vijay Mukati
10 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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