Question

the area of an equilateral triangle is 173 20.5 cm square about each angular point as a circle is described with radius equal to half the length of the sides of the triangle find the area of the triangle not included in the circle​

Answer 1

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:

please mark me brainliest