Multiple choice

Find the area of the sector of a circle with radius 4 cm and angle $90^o$.

  1. $1\pi\space\ cm^2$
  2. $2\pi\space\ cm^2$
  3. $3\pi\space\ cm^2$
  4. $4\pi\space\ cm^2$
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D Correct answer
Explanation

Area of sector = (theta/360) * pi * r^2 = (90/360) * pi * 4^2 = (1/4) * 16 * pi = 4pi.

AI explanation

Using the sector area formula, Area equals theta divided by 360 times pi r squared, we substitute the 90 degree angle and 4 cm radius. The calculation is 90 divided by 360 times pi times 4 squared, which simplifies to one fourth of 16 pi. The area of the sector is 4 pi square cm.

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