MATH 130 · Unit 2

Circles, Radians, Velocity, and Solids

Choose a focused lesson or revisit the full unit sessions below.

Session 1

Area and Circle Geometry

Area decomposition, circle measures, arcs, sectors, and angle theorems

55 minutes · 22 slides

  • decompose figures and compute area accurately
  • use circle terminology and circumference-area formulas
  • apply central-angle, inscribed-angle, chord, and arc relationships
Open session 1

Session 2

Radians, Velocity, and Solid Geometry

Angle conversion, arc length, sectors, motion, volume, and surface area

55 minutes · 22 slides

  • convert angle measures and compute arc length and sector area
  • relate angular velocity, linear velocity, and distance
  • select cylinder volume and surface-area formulas and find hollow-cylinder material volume
Open session 2

Session 3

Circle, Radian, and Speed Review · Monday, October 19

A past 55-minute Unit 2D review of circle diagrams, angle conversions, arcs, sectors, and rotational speed.

55 minutes · 31 slides

  • Read circle diagrams and connect central angles, inscribed angles, and arcs
  • Convert DMS, decimal degrees, and radians with the requested precision
  • Find arc length and sector area, then solve backwards for radius or angle
  • Convert rpm to angular and linear speed using the radius
Open session 3

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