The perimeter of a regular hexagon is 30 cm. Determine the diameter of its incircle.
Answers
Answer:
The Diameter of the circle comes to be 10 cm.
Given:
The perimeter of a regular hexagon = 30 cm
To Find:
Diameter of its inscribed circle.
Solution:
In a regular hexagon, all the sides are of equal size.
So the side of the hexagon can be calculated by the formula,
Perimeter of the hexagon = 6*side
by putting the value of the perimeter,
30 = 6*side
side = 30/6
side = 5cm
Hence the side of the hexagon is 5 cm.
Since the hexagon is in the circle, any one of the diagonal of the hexagon can be considered as the diameter.
And the diagonal is twice the side of the hexagon.
As
Diameter of the circle = Diagonal of the circle
2*side
2*5
= 10
Hence the Diameter of the circle comes to be 10 cm.
Step-by-step explanation:
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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