3. Find the perimeter of the given shape.
22
Take T=
7
22 쪽
Here, we have to find the circumference of
the three semicircles one on each side of the
equilateral triangle.
7 cm
7 cm
7 cm
Answers
Answered by
2
Answer:
Here, Radius of circle r=7cm
⇒ Area of circle =πr
2
=
7
22
×(7)
2
=154cm
2
⇒ Side of equilateral triangle is 14cm.
⇒ Area of equilateral triangle =
4
3
×(side)
2
⇒ Area of equilateral triangle =
4
3
×(14)
2
⇒ Area of equilateral triangle =
4
1.73
×196=84.87cm
2
⇒ ∠A=60
o
[ Angle of equilateral triangle ]
∴ θ=60
o
⇒ Area of sector =
360
o
θ
×πr
2
⇒ Area of sector =
360
o
60
o
×
7
22
×(7)
2
∴ Area of sector =25.66cm
2
⇒ Area of shaded region = (Area of circle + Area of equilateral triangle ) - 2×Area of sector
⇒ Area of shaded region =(154+84.87)−51.32=187.55cm
2
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