Question

ABC is an equilateral triangle of side 7cm. If 3 semi circles are drawn on each side of a triangle with the sides of the triangle as diameters, find out the area of the shape so formed.

And the picture is above. ⏫⏫

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Answer 1

Answer:

78.91cm²

Step-by-step explanation:

Area of equilateral triangle =

$\frac{ \sqrt{3} }{4} {a}^{2}$

a= sides of triangle =7 cm

Area of equilateral triangle =

$\frac{ \sqrt{3} }{4} \times {7}^{2} = 21.22 {cm}^{2}$

Area of semi circle =

$\frac{\pi {r}^{2} }{2}$

r=7/2= 3.5cm

=

$\frac{\pi {3.5}^{2} }{2} = 19.23 \: {cm}^{2}$

Total shaded region, area =( 3xarea of semi circle) + area of equilateral triangle

=( 3 x 19.23) + 21.22 = 57.7 + 21.22

= 78.91 cm²