Multiple choice

Area of a sector of central angle $200^0$ of a circle is 770 $cm^2$. The length of the corresponding arc of this sector is

  1. $ 73\frac { 1 }{ 3 } cm $
  2. $ 156\frac { 1 }{ 3 } cm $
  3. $ 7\frac { 1 }{ 3 } cm $
  4. $ 22\frac { 1 }{ 3 } cm $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of sector = (theta/360) * pi * r^2 = 770. (200/360) * (22/7) * r^2 = 770. Solving for r^2 gives r^2 = 770 * (360/200) * (7/22) = 441, so r = 21. Arc length = (theta/360) * 2 * pi * r = (200/360) * 2 * (22/7) * 21 = (5/9) * 132 = 73.33 or 73 1/3.

Keep practicing — related questions