Site map
Math Tests
Math Lessons
Math Formulas
Online Calculators
Math Calculators, Lessons and Formulas
It is time to solve your math problem
mathportal.org
Math Tests
Math Lessons
Math Formulas
Online Calculators
Geometry
Circles
Circles and Hexagons
Circles and Hexagons
ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
–
4
5
6
+
1
2
3
=
0
.
auto next question
evaluate answers
calculator
Question 1:
1 pts
A regular hexagon is inscribed in a circle. If the radius of the circle is $5 cm,$ what is the length of the side of the hexagon?
$\sqrt{5}cm$
$5 cm$
$5\sqrt{2}cm$
$2\sqrt{5}cm$
Question 2:
1 pts
A regular hexagon is inscribed in a circle. Find the area of the circle shown on the picture.
$A=16\pi cm^{2}$
$A=32\pi cm^{2}$
$A=64\pi cm^{2}$
Question 3:
1 pts
A regular hexagon with area $ \dfrac{3\sqrt{3}}{2} m^{2}$ is inscribed in a circle. Find the area of the circle.
$A=2\pi m^{2}$
$A=\pi m^{2}$
$A=4\pi m^{2}$
$A=\dfrac{\pi}{2} m^{2}$
Question 4:
1 pts
A regular hexagon with a side length $x$ can be inscribed inside a circle of a radius $x$?
Question 5:
2 pts
The area of a circle inscribed in a regular hexagon is $3\pi cm^{2}$. Find the area of described circle of that hexagon.
$A=2\pi cm^{2}$
$A=\pi cm^{2}$
$A=4\pi cm^{2}$
Question 6:
2 pts
The perimeter of the shaded figure shown on the picture is $$P=48\pi cm. $$
Question 7:
2 pts
Which expression can be used to find the area of a circle inscribed in a regular hexagon with a perimeter of $48cm$?
$A={\left(4\sqrt{2}\right)^{2}}\pi =32\pi cm^{2}$
$A={\left(4\sqrt{3}\right)^{2}}\pi =48\pi cm^{2}$
$A={\left(8\sqrt{6}\right)^{2}}\pi =384\pi cm^{2}$
$A={\left(2\sqrt{3}\right)^{2}}\pi =14\pi cm^{2}$
Question 8:
2 pts
If a regular hexagon is inscribed in a circle with a radius of $4 cm$, find the area of the hexagon.
$A=24\sqrt{2} cm^{2}$
$A=18\sqrt{3}\pi cm^{2}$
$A=24\sqrt{3}\pi cm^{2}$
$A=16\sqrt{3}\pi cm^{2}$
Question 9:
2 pts
A circle is inscribed in a regular hexagon. A regular hexagon is inscribed in this circle. Another circle is inscribed in the inner regular hexagon and so on. What is the area of the third such circle if the length of the side of the outermost regular hexagon is 8 cm.
$A=3\pi cm^{2}$
$A=9\pi cm^{2}$
$A=27\pi cm^{2}$
$A=36\pi cm^{2}$
Question 10:
3 pts
In a circle of radius $3$ the equilateral triangle $ABC$ is inscribed, and the points $X, Y$ and $Z$ are diametrically opposite to $A, B$ and $C$ (respect) . Find the perimeter of the hexagon $AZBXCY.$
$A=$
$6\sqrt{3}$
$18$
$3\sqrt{3}$
$4\sqrt{3}$
Question 11:
3 pts
A circle is inscribed within a regular hexagon in such a way that the circle touches all sides of the hexagon at exactly one point per side. Another circle is drawn to connect all the vertices of the hexagon. Expressed as a fraction, what is the ratio of the area of the smaller circle to the area of the larger circle?
$3:4$
$\sqrt{3}:3$
$3:\sqrt{2}$
$4:3$
Question 12:
3 pts
A regular hexagon of a side $12cm$ is inscribed in a circle. Another circle is in turn inscribed in the hexagon. What is the area of the region between the 2 circles?
$19\pi cm^{2}$
$36\pi cm^{2}$
$42\pi cm^{2}$
$48\pi cm^{2}$
submit test
Pre-algebra
Polynomials
Linear equations
Quadratic equations
Radicals
Exponents and Logarithms
Trigonometry
Algebra 2
Geometry
Solid Figures
Triangle
Triangle classification
Triangle formulas
Equilateral triangle
Right triangle
Isosceles triangle
Mixed problems
Quadrilateral
Classifying quadrilaterals
Quadrilateral angles
Quadrilateral formulas
Square
Rectangle
Rhombus and Parallelogram
Trapezoid
Quadrilaterals on the coordinate plane
Area of quadrilaterals - mixed problems
Circle
Circle formulas
Inscribed and Central Angles
Circle and Pythagorean Theorem
Triangles and Circles
Circles and Quadrilaterals
Circles and Hexagons
Mixed problems
Polygons
Number of diagonals
Interior angles
Angles of regular polygons
Area and perimeter of regular polygons