Question

A regular hexagon is inscribed in a circle. If the area of the hexagon is 24root3 cm2 find the area of the circle

Answer 1

Answer:

Step-by-step explanation:

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

=16× 3.14

= 50.24 cm^2