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Question

The area of an equilateral ΔABC is 17320.5 cm2 with each vertex of the triangle as centre a circle is drawn with radius equal to half the length of the side of triangle. Find the area of the shaded region. (π=3.14,3=1.73205)  [4 MARKS]


Solution


Concept: 2 Marks
Application: 2 Marks

Area of shaded region = area of ΔABC - 3 (Area of sector BPR)

Let 'a' be the side of the equilateral ΔABC.

a234=17320.5       

a=200 cm

Radius of the circles
=12×a=100 cm

Required area
=17320.53[60360×π×1002]

=1620.5 cm2


Mathematics

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