11. Circles

11.01 Radians, arc length, and sector area

11.02 Lines tangent to a circle

11.03 Chords and angles

11.04 Inscribed angles and polygons

11.05 Angles from intersecting chords, secants, and tangents

11.06 Lengths in intersecting chords, secants, and tangents

11.07 Circles in the coordinate plane

United States of America

Grades 9-12

11.01 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.

What is Mathspace

About Mathspace