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
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%.
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.
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 .
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.
The radius of a circle inscribed in a regular hexagon equals the length of one side of the hexagon.
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
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)
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
The hexagon has the larger exterior angle.