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# Why does a circle belong in the quadrilateral family?

Updated: 12/23/2022

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Q: Why does a circle belong in the quadrilateral family?
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### When each side of a quadrilateral is tangent to a circle The quadrilateral is inscribed in the circle?

No, the circle is inscribed in the quadrilateral.

### Is a cricle a quardrilateral?

A quadrilateral has four sides. A circle does not have four sides. Therefore, a circle is not a quadrilateral.

### What are the opposite angles of a quadrilateral inscribed in a circle?

A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.

### Does a quadrilateral's diagonal pass through the center of a circle if it circumscribes it?

No. You can have a very "thin" quadrilateral that is completely in the top half of the circumscribing circle. Then the centre of the circle will be below and OUSIDE the quadrilateral. The diagonals of the quadrialteral will be INSIDE the quadrilateral while they are within the circle and so cannot pass through the centre.

### The opposite angles of a quadrilateral inscribed in a circle are?

The opposite angles of a quadrilateral inscribed in a circle have a sum of 180 degrees.

you dont

cyclic

### Is a circle a quadrilateral?

no because it has an infinate number of sides a quadrilateral has exactly 4

### Which of these is a quadrilateral - octagon circle rhombus and cone?

Of the shapes listed, only the rhombus is a quadrilateral.

circle