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Question

In an equilateral triangle of side 24cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangles is (3=1.732)

A
98.55sqcm
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B
100sqcm
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C
101sqcm
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D
95sqcm
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Solution

The correct option is A 98.55sqcm
Inradius of an equilateral triangle =Side23=2423=43 cm
Area of equilateral triangle =34×(Side)2
=34×24×24
=3×6×24
=1443 cm2
=144×1.732
=249.41 cm2
Now,
Area of incircle =πr2
=227×43×43
=22×16×37
=10567
=150.86 cm2
Area of remaining part = Area of triangle Area of incircle
=249.41150.86
=98.55 cm2

1109940_1205170_ans_902ead62653b48a0b9e832211a8cf681.png

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