in a circular table cover of radius 32 cm,a design is formed leaving an equilateral triangle ABC in the middle. find the area of the design (shaded region)
for the figure refer to lesson no .12 , ex-12.3 Question no 6.. page no-235 of ncert
please tell the easiest way to solve it
Radius (r) of circle = 32 cm
AD is the median of ABC.
The point O divides the the median AD in the ratio 2:3
So,
AD = 48 cm
In ΔABD,
AB2 = AD2 + BD2
Area of equilateral triangle =
Area of equilateral triangle,
Area of circle = πr2
Area of design = Area of circle − Area of ΔABC