Question

A regular hexagon inscribed in a circle. if the area of hexagon is 24 root 3 cm square, find the area of the circle.

Answer 1

Join all corners of hexagon with centre of cirlce and u will see 6 equilateral traingles there!!
Let the radius of circle be "r" which is same as side of equilateral traingles!!

Since there are 6 equilateral triangle forming that hexagon!

6×[(root3)/4]a.a=24root3

a=4
Area of circle = πa.a
=16π

Answer 2

Answer:

Step-by-step explanation:

Now for this,

We have ,the area of hexagon =24root3 cm square.

A.T.F(According to formula)

We have,

3root3/2a square = 24root3 cm square

Hence, by calculating,

a square =16.

So,a=4.

So,we have radius = 4cm.

Now ,according to question...

Area of circle =pie r square.

Now putting all values..

We get,

3.14×4×4=50.24cm square....