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If a regular hexagon is inscribed in a circle of radius r, then its perimeter is :
- a)6√3r
- b)6r
- c)3r
- d)12r
Correct answer is option 'B'. Can you explain this answer?
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The perimeter of a regular hexagon is equal to the sum of the lengths of its sides.
In a regular hexagon, all sides are equal in length. Let's call this length "s".
Since the hexagon is inscribed in a circle of radius r, each side of the hexagon is also a radius of the circle.
We can use the formula for the circumference of a circle to relate the radius to the perimeter of the hexagon:
C = 2πr
Since each side of the hexagon is a radius, we have 6 sides, so the perimeter of the hexagon is 6s.
Therefore, 6s = 2πr.
To find the perimeter of the hexagon, we need to solve for s.
s = (2πr)/6
simplifying, we get s = πr/3.
The perimeter of the hexagon is 6s, so substituting the value of s, we get:
Perimeter = 6(πr/3)
Perimeter = 2πr
Therefore, the perimeter of the regular hexagon inscribed in a circle of radius r is 2πr.
So the correct answer is b) 2πr.
In a regular hexagon, all sides are equal in length. Let's call this length "s".
Since the hexagon is inscribed in a circle of radius r, each side of the hexagon is also a radius of the circle.
We can use the formula for the circumference of a circle to relate the radius to the perimeter of the hexagon:
C = 2πr
Since each side of the hexagon is a radius, we have 6 sides, so the perimeter of the hexagon is 6s.
Therefore, 6s = 2πr.
To find the perimeter of the hexagon, we need to solve for s.
s = (2πr)/6
simplifying, we get s = πr/3.
The perimeter of the hexagon is 6s, so substituting the value of s, we get:
Perimeter = 6(πr/3)
Perimeter = 2πr
Therefore, the perimeter of the regular hexagon inscribed in a circle of radius r is 2πr.
So the correct answer is b) 2πr.
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If a regular hexagon is inscribed in a circle of radius r, then its perimeter is :a)6√3rb)6rc)3rd)12rCorrect answer is option 'B'. Can you explain this answer?
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