13. Circles

13.01 Radians, arc length, and sector area

13.02 Lines tangent to a circle

13.03 Chords and angles

13.04 Inscribed angles and polygons

13.05 Angles from intersecting chords, secants, and tangents

13.06 Lengths in intersecting chords, secants, and tangents

13.07 Circles in the coordinate plane

United States of America

Grades 9-12

13.04 Inscribed angles and polygons

Adaptive

Worksheet

Interactive practice questions

We are given that the measure of the intercepted arc $XY$XY is equal to $96^\circ$96°.

What is the measure of the inscribed angle of arc $XY$XY?

Easy

1min

We are given that the measure of the central angle of the arc $AB$AB is equal to $88^\circ$88°.

Easy

1min

We are given that the measure of the inscribed angle of the arc $PQ$PQ is equal to $55^\circ$55°.

Easy

1min

We are given that the measure of the central angle of the arc $XY$XY is equal to $58^\circ$58°.

Easy

1min

Outcomes

G.CO.D.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

G.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

G.C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

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