Question

The area of an equilateral triangle ABC is 17320.5
cm². With each vertex of the triangle as centre, a
circle is drawn with radius equal to half the length
of the side of the triangle (see in the figure given in attachment). Find the
area of the shaded region.

$use \: \pi \: = \: 3.14 \: and \\ \sqrt{3} = \: 1.73205$
$❌ \: Don't \: spam \: ❌$

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Answer 1

Answer:

Given AB=BC=AC

Area of Equilateral △ ABC = 17320.5cm

2

∴

4

3

×AB

2

=17320.5

∴ AB =200cm

Also, AB=2AD

∴ AD=100 cm =radius

Area of sector DAE + Area of sector DBF + Area of sector FCE

We know that area of sector =

360

θ

×π×r

2

=3×

360

60

×3.14×100×100

=15700cm

2

∴ Area of the shaded region = Area of equilateral triangle − Area of all sectors

=17320.5−15700

=1620.5cm

2

Step-by-step explanation:

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Answer 2

Answer:

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