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Mathematics
Circumscribing and inscribing a circle on regular hexagon
What is the area of a regular hexagon inscribed in a circle of radius r ? \[\]
A. $ 2\sqrt{3}{{r}^{2}}\text{ sq}\text{.units } $ \[\]
B. $ \dfrac{3\sqrt{3}}{2}{{r}^{2}}\text{ sq}\text{.units } $ \[\]
C. $ \dfrac{2}{\sqrt{3}}{{r}^{2}}\text{ sq}\text{.units } $ \[\]
D. $ \dfrac{\sqrt{3}}{2}{{r}^{2}}\text{ sq}\text{.units } $ \[\]
Mathematics
Circumscribing and inscribing a circle on regular hexagon
If a hexagon $ABCDEF$ circumscribes a circle. Prove that $AB + CD + EF = BC + DE + FA$.

Mathematics
Circumscribing and inscribing a circle on regular hexagon
If a hexagon ABCDEF circumscribe a circle, prove that \[\text{AB}+\text{CD}+\text{EF}=\text{BC}+\text{DE}+\text{FA}\].
Mathematics
Circumscribing and inscribing a circle on regular hexagon
The side of a regular hexagon is 2cm. Then the ratio of the radius of the circumscribed circle to the radius of the inscribed circle is?
A. $\dfrac{{\sqrt 3 }}{2}$
B. $\dfrac{1}{2}$
C. $2$
D. $\dfrac{2}{{\sqrt 3 }}$
Mathematics
Circumscribing and inscribing a circle on regular hexagon
When constructing an inscribed regular hexagon, how will you choose the arc measurement?
(a) Radius of the circle
(b) Diameter of the circle
(c) Chord of the circle
(d) Circumference of the circle

Mathematics
Circumscribing and inscribing a circle on regular hexagon
A regular hexagon is inscribed in a circle of radius \[r\]. The perimeter of regular hexagon is
A. \[3r\]
B. \[6r\]
C. \[9r\]
D. \[12r\]
Mathematics
Circumscribing and inscribing a circle on regular hexagon
ABCDEF is a regular hexagon with center O. If the area of the triangle OAB is 9 $cm^2$, find the area of the circle in which the hexagon is inscribed.


Mathematics
Circumscribing and inscribing a circle on regular hexagon
Construct a regular hexagon of side $5 cm$. Hence determine the number of lines of symmetry can be drawn for a regular hexagon.

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