Multiple choice

Find the length of an arc of circle which subtends an angle of $108^o$ at the centre, if the radius of the circle is $15$ cms.

  1. $18.17cm$
  2. $28.27cm$
  3. $68.27cm$
  4. $58.56cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Arc length = (theta / 360) * 2 * pi * r. Arc length = (108 / 360) * 2 * (22/7) * 15 = 0.3 * 2 * 3.14159 * 15 = 28.27 cm.

AI explanation

Using the arc length formula L = (theta / 360) * 2 * pi * r, we substitute the given values. The calculation is (108 / 360) * 2 * (22/7) * 15 = 0.3 * 660 / 7 = 198 / 7. This fraction evaluates to approximately 28.27 cm.