In Fig, arcs are drawn by taking vertices A,B and C of an equilateral triangle of side 10cm. to intersect the sides BC,CA and AB at their respective mid-points D,E and F. Find the area of the shaded region (Use π=3.14).
13.08cm2
39.25cm2
33.25cm2
89.25cm2
A
89.25cm2
B
13.08cm2
C
33.25cm2
D
39.25cm2
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Solution
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Sectors made at vertices A,B,C are equal in Area because angle made by them is equal to 600 and radius of each circle is 102cm=5cm
Area of shaded region =3× Area of one sector with radius 5cm and angle 600
=3×60360π(5)2cm2
=39.25cm2
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