Question

ABC is an equilateral triangle inscribed in a circle of radius 7 cm. Find the area of the
minor segment of the chord BC (take V3 = 1.73).
​

Answer 1

Answer:

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Step-by-step explanation:

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