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Radians, Degrees, and Arc Length

HSF-TF.A.1
Answer Keys Here

Aligned To Common Core Standard:

Trigonometric Functions - HSF-TF.A.1

Radians, Degrees, and Arc Length - When we learn the concepts of geometry, the first thing we come across is measuring an angle. This is the first step towards completely understanding the concept of geometry. Radian and degrees are the two different units that can be used to measure an angle. One radian is the angle formed when an arc opposite to the angle is the same as the radius of the circle. These worksheets and lessons help students learn to calculate radians and degree values as well as measuring the length of arc of a circle.

Printable Worksheets And Lessons






Homework Sheets

Each sheet is dedicated to one of the problem types.

  • Homework 1 - To go from degrees to radians: take the value of degrees and multiply it by Pi divided by one-hundred and eighty degrees.
  • Homework 2 - s = Θ r
  • Homework 3 - A section of faceoff circle in a hockey rink is a circular sector with a radius of 3.92 m and a central angle of 60.5°. What is the area of this section of the faceoff circle?



Practice Worksheets

Ice hockey faceoff circle geometry; why not!

  • Practice 1 - How long is the arc subtended by an angle of 9Π/14 radians on a circle of radius 12 cm?
  • Practice 2 - A section of faceoff circle in a hockey rink is a circular sector with a radius of 6.45 m and a central angle of 78.6°. What is the area of this section of the faceoff circle?
  • Practice 3 - A section of side walk has a circular sector. The radius is 2.30m and a central angle 90°. What is the area of this section of sidewalk?



Math Skill Quizzes

You thought you escaped the faceoffs? Not quite yet!

  • Quiz 1 - Convert Π/16 to degrees.
  • Quiz 2 - Convert 80° to radians.
  • Quiz 3 - Barry the Beaver gnaws his way through a circular section wood. The sector has a radius of 6.90 m and central angle 95.3°. What is the area of this section of wood?