Math, asked by ranjitamantur1234, 7 months ago

a circle is inscribed in an equilateral triangle of side 12cm

Answers

Answered by shrutijha0804
1

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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