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Calculating Arc Lengths in Circles: Examples & Solutions

Learn how to find arc lengths in circles using degree measures and circumference formulas with detailed examples and solutions. Practice exercises included.

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Calculating Arc Lengths in Circles: Examples & Solutions

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  1. a. 60° a. = 2π(8) Arc length of AB 360° EXAMPLE 3 Find arc lengths Find the length of each red arc. SOLUTION ≈ 8.38 centimeters

  2. b. 60° = b. Arc length of EF 2π(11) 360° EXAMPLE 3 Find arc lengths Find the length of each red arc. SOLUTION ≈ 11.52 centimeters

  3. 120° c. 2π(1) Arc length of GH = 360° c. EXAMPLE 3 Find arc lengths Find the length of each red arc. SOLUTION ≈ 23.04 centimeters

  4. a. Circumference C of Z Arc length of XY a. m XY = 360° C 4.19 40° = 360° C 4.19 1 = 9 C EXAMPLE 4 Find arc lengths to find measures Find the indicated measure. SOLUTION 37.71 = C

  5. b.m RS Arc length of RS m RS b. = 44 m RS = 360° 2 r 2 (15.28) 360° 44 = m RS 360° 2 (15.28) 165° m RS EXAMPLE 4 Find arc lengths to find measures Find the indicated measure. SOLUTION

  6. 3. Length ofPQ ANSWER about 5.89 yd for Examples 3 and 4 GUIDED PRACTICE Find the indicated measure.

  7. 4. Circumference ofN ANSWER 81.68 m for Examples 3 and 4 GUIDED PRACTICE Find the indicated measure.

  8. ANSWER about 4.01 ft. for Examples 3 and 4 GUIDED PRACTICE Find the indicated measure. 5. Radius ofG

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