A circle is inscribed in an equilateral triangle of side✓3 units. What is the area of the circle
Answers
Answered by
1
Answer:
AB=BC=CA=a
∴ Height of the equilateral Δ=
2
2
×a
O being the centroid of the ΔABC,
3OD=
2
3
a⇒od=
6
3
Diagonal of the square = 2 x OD
=2×
6
3
a=
3
3
a
=
3
1
a
∴ Area of the square =
2
1
(diagonal)
2
=
2
1
×(
3
1
a)
2
=
6
1
a
2
Answered by
1
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ANSWER
AB=BC=CA=a
∴ Height of the equilateral Δ=
2
2
×a
O being the centroid of the ΔABC,
3OD=
2
3
a⇒od=
6
3
Diagonal of the square = 2 x OD
=2×
6
3
a=
3
3
a
=
3
1
a
∴ Area of the square =
2
1
(diagonal)
2
=
2
1
×(
3
1
a)
2
=
6
1
a
2
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