Geometry · Chapter 10 · Lesson 10.3 · Printable PDF

Arc Length Worksheet with Answer Key

7 problems on arc length: finding arcs from radius or diameter and angle, a traffic circle, comparing arcs, a Ferris wheel, a door handle, a spiral of quarter circles, and a rope on a drum. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Arc length worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the length of each arc exactly and to two decimal places:
    r = 6 cm, 30°r = 8 m, 270°d = 20 in, 72°r = 15 ft, 84°r = 7.5 cm, 144°
  2. Find the arc and angle of a car's path around a traffic circle.
  3. Find three arcs and list them from shortest to longest.
  4. Find the distance along the rim between neighboring Ferris wheel cars.
  5. Find how far a door handle travels and the angle for a given distance.
  6. Find the total length of a spiral of six quarter circles.
  7. Find how far a drum must turn to raise a bucket 3 m.

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Arc length: the lesson ›