Inscribed Figures

A polygon is inscribed in a circle when:

• It is rotated around a central point.

• It fits inside the circle, and all its vertices lie on the circle.

• It has congruent sides and angles.

• Its diagonals intersect at 90 degrees.

In the figure, heptagon ABCDEFG is inscribed in Circle P. Identify the center.

• A

• R

• P

• C

In the figure, heptagon ABCDEFG is inscribed in circle P. Identify a radius.

In the figure, heptagon ABCDEFG is inscribed in circle P. Identify a central angle.

• A

• B

• C

• D

• E

In a right triangle ABC, right-angled at B, BC = 12 cm and AB = 5 cm. Calculate the radius of the circle inscribed in the triangle (in cm). (2014OD)

Find the measure of arc AB.

• 17 degrees

• 34 degrees

• 68 degrees

• 146 degrees

In the figure, heptagon ABCDEFG is inscribed in circle P. Find the measure of a central angle.

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius

• The diameter

• Half of the radius

• It depends on the size of the circle