Why is it given in the provided Meritnation answer that AO=2/3AD (shown in photo) The question for the answer - Maths - Areas Related to Circles

Question

Why is it given in the provided Meritnation answer that
AO=2/3AD?(shown in photo)

The question for the answer is: In a circular table of radius 32
cm, a design is formed leaving an equilateral triangle ABC in the
middle as shown in the given figure Find the area of the
design(shaded region)

Arpita D Pal · Accepted Answer

Dear Student, we know that centroid divides median in ratio 2:1
where AO:OD is 2:1 so AO =(2/3)AD Regards

Why is it given in the provided Meritnation answer that AO=2/3AD?(shown in photo) The question for the answer is: In a circular table of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design(shaded region)

Why is it given in the provided Meritnation answer that AO=2/3AD?(shown in photo)

The question for the answer is: In a circular table of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design(shaded region)