Question

If the area of triangle OAB is 13 cm2 and the area of sector in which the triangle is included is 19 cm2 then find the area of the minor segment AB.Answer .​

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