If an equilateral triangle of side 7√3 cm is drawn inside circle, find area of circle. full solution no spam
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1
Step-by-step explanation:
△ABC is an Equilateral triangle,the radius of the incircle is given by formula:
r=
2
3
s
; where, s=side of an equilateral triangle
∴r=
2
3
2
3
=1
Area of Incircle A
c
=πr
2
A
c
=π cm
2
By midpoint theorem,
sides DF=FE=DE=
2
1
(BC=AB=BC)
Area of triangle DEF is also an equilateral triangle
A
t
=
4
3
s
2
; where s= side of a triangle
∴A
t
=
4
3
(
2
2
3
)
2
∴A
t
=
4
3
3
Area of shaded region = Area of incircle − Area of Triangle DEF
∴A
s
=A
c
−A
t
∴A
s
=π−
4
3
3
∴A
s
=
4
1
(4π−3
3
) cm
2.
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Answered by
1
Step-by-step explanation:
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