The area comparison between a circle and a hexagon depends on their respective dimensions. A circle's area is determined by the formula (A = \pi r^2), where (r) is the radius. A regular hexagon's area is given by (A = \frac{3\sqrt{3}}{2} s^2), where (s) is the length of a side. If you compare them based on the same perimeter, the circle will generally enclose a larger area than a hexagon.
If the area of one circle is twice that of another, the ratio of the area of the smaller circle to the larger circle is 1:2. To express this as a percentage, the area of the smaller circle is 50% of the area of the larger circle. Thus, the ratio in percent of the smaller circle to the larger circle is 50%.
The area of any hexagon is 6(0.5)(L)(L sin 60o) = 3L2 sin 60o, where L is the length of one side and is also the radius of the circumscribed circle.
the hexagon is circumscribed about the circle
Find the area of both circles (A = πr2) and subtract the area of the larger circle from that of the smaller circle inside it.
Area of circle = 225 cm2 implies radius = 8.46 cm (approx) Therefore, apothem of hexagon = 8.46 cm then side of hexagon = apothem*2/sqrt(3) = 9.77 cm (approx) and so perimeter = 6*side = 58.63 cm
Hexagon: Yes Circle: No
The area of any hexagon is 6(0.5)(L)(L sin 60o) = 3L2 sin 60o, where L is the length of one side and is also the radius of the circumscribed circle.
the hexagon is circumscribed about the circle
A. The hexagon is circumscribed about the circle . D. Each vertex of the hexagon lies outside the circle . E. The circle is tangent to each side of the hexagon .
Find the area of both circles (A = πr2) and subtract the area of the larger circle from that of the smaller circle inside it.
The area of a 5-inch circle is: 19.6 square inches.The area of a 4-inch circle is: 12.6 square inches.The area of the 5-inch circle is 55.6% larger than the 4-inch circle
The radius of a circle inscribed in a regular hexagon equals the length of one side of the hexagon.
It is 374.12 sq inches.
First find the area of the larger circle and then subtract the area of the smaller circle. Area=(pi x radiuslarger)-( pi x radiussmaller)
The hexagon has the larger exterior angle.
Area of circle = 225 cm2 implies radius = 8.46 cm (approx) Therefore, apothem of hexagon = 8.46 cm then side of hexagon = apothem*2/sqrt(3) = 9.77 cm (approx) and so perimeter = 6*side = 58.63 cm
N