Multiple choice

Find the area of the sector of a circle when the angle of the sector is $\displaystyle 63^{\circ} $ and the diameter of the circle is $20 cm$

  1. $35 \displaystyle cm^{2} $
  2. $45 \displaystyle cm^{2} $
  3. $55 \displaystyle cm^{2} $
  4. $65 \displaystyle cm^{2} $
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area = (theta/360) * pi * r^2. Diameter = 20, so r = 10. Area = (63/360) * (22/7) * 100 = (7/40) * (22/7) * 100 = (1/40) * 22 * 100 = 2200/40 = 55.

AI explanation

The radius is half of the diameter, which is 10 cm. Using the sector area formula, area equals theta divided by 360 times pi times radius squared, we get 63/360 times 22/7 times 100. This calculation yields 1/40 times 2200, which equals 55 cm^2.

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