a circle is inscribed in an equilateral triangle of side 12cm
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Answer:
lREF.Image
side of equilateral triangle is 12 cm
height =
2
3
a =
2
3
×12 =6
3
cm
tan30
∘
=
6
r
3
1
=
6
r
3
6
=r
∴r=
3
6
cm
area not included =
4
3
a
2
−πr
2
=
4
3
×(12)
2
−π×(
3
6
)
2
=
4
3
×144−π×
3
36
=36
3
−3.14×12
=62.35−37.68
=24.67cm
2
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