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

13.01 Radians, arc length, and sector area

Adaptive

Worksheet

Interactive practice questions

How can you convert between radian and degree angle measures?

a

To convert an angle from degrees to radians, you can multiply by:

b

To convert an angle from radians to degrees, you can multiply by:

Medium

1min

Answer the following.

Medium

1min

Convert $90^\circ$90° to radians.

Give your answer in exact form.

Medium

< 1min

Convert $225^\circ$225° to radians.

Give your answer in exact form.

Medium

1min

Outcomes

G.C.A.1

Prove that all circles are similar.

G.C.B.5

Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

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