Multiple choice

The area of a sector with radius 4 cm and central angle $60$ degrees is

  1. $\dfrac{2\pi}{3}cm^2$
  2. $\dfrac{4\pi}{3}cm^2$
  3. $\dfrac{8\pi}{3}cm^2$
  4. $\dfrac{16\pi}{3}cm^2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of a sector is given by (theta/360) * pi * r^2. Substituting theta = 60 and r = 4 gives (60/360) * pi * 16 = (1/6) * 16 * pi = 8/3 * pi.

AI explanation

Using the area of a sector formula, we calculate the area by taking the central angle multiplied by pi multiplied by the radius squared, and then dividing by 360. Substituting the given values gives an area of 60 multiplied by pi and 4 squared, all divided by 360. This simplifies to 960 times pi divided by 360, resulting in an area of 8 times pi divided by 3 square centimeters.

Keep practicing — related questions