The perimeter of a regular hexagon is 30 cm. Determine the diameter of its incircle.
Answers
Answered by
1
Answer: Diameter of circle is 10cm
Step-by-step explanation:
Given,
perimeter of a regular hexagon is 30 cm
The side of the hexagon will be equal to the radius of the circle
Perimeter of the hexagon = 6*side
30 = 6*side
side = 30/6
side = 5cm
Hence, hexagon is in the circle, any one of the diagonal of the hexagon can be considered as the diameter
Diameter of the circle = Diagonal of the circle
2*side
2*5
= 10
If the diameter of hexagon is 10 then the radius of hexagon is 5
Similar questions