Math II · G-C.5

Derive arc length and sector area formulas using similarity; define radians and convert degrees/radians.

Derive arc length and sector area formulas using similarity; define radians and convert degrees/radians.

Concept Geometry

Domain Circles

Problem Types

Problem Templates In This Objective

12 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Convert an angle from degrees to radians by multiplying by π/180

4 variants

Template 2

Convert an angle measure from radians to degrees

4 variants

Template 3

Find a central angle in radians from arc length and radius

4 variants

Template 4

Find arc length from a radius and a central angle measured in radians

4 variants

Template 5

Find arc length when the radius and central angle are given in degrees

4 variants

Template 6

Find sector area when the central angle is given in radians

4 variants

Template 7

Find sector area from a radius and a central angle in degrees by converting the angle to radians

4 variants

Template 8

Find a central angle in radians from arc length and radius

4 variants

Template 9

Find the radius from an arc length and a central angle in radians

4 variants

Template 10

Find a missing sector measure from the sector area formula in radians

4 variants

Template 11

Find arc length from a radius and central angle by converting degrees to radians when needed

4 variants

Template 12

Find sector area from a radius and central angle by converting degrees to radians when needed

4 variants