Question

a regular hexagon is inscribed in a circle and a smaller circle is inscribed in the hexagon formed by joining its diagonals . If x is the ratio of the area of the bigger circle to that of the smaller circle find x

Answer 1

Answer:

Step-by-step explanation:

In **Δ OPE**

**OP=OE=r**

So ∠ OPE=∠ OEP= p ( say)

∠ POE =360/6=60

Then p+p+60=180, p=60

Thus ∠ OPE=∠ OEP=∠POE=60

Therefore **Δ OPE is an equilateral triangle**

So side PE=x=r=10 cm

Thus the perimeter of the hexagonal ABCDEP

**=6*10=60 cm**

Answer 2

$\huge\bold\green {HOLA!!}$

60 cm