Which of the following statements is true for a hexagon circumscribed in a circle? Multiple choices can be correct.
A
The side of the hexagon equals the radius of the circle
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B
The hexagon is drawn outside the circle
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C
All vertices of the hexagon touch the circle
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D
All sides of the hexagon serve as tangents to the circle
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Solution
The correct options are B The hexagon is drawn outside the circle C All vertices of the hexagon touch the circle D All sides of the hexagon serve as tangents to the circle If a polygon is drawn outside a circle so that every side of the polygon touches the circle, the polygon is called the circumscribed polygon and the circle is called the inscribed circle. So, here the B,C,D statements are true for hexagon circumscribed in a circle.