Multiple choice

The radius of a circle is 6 cm and the angle of a sector of the circle is 60°. What is the area of the sector?

  1. 12π cm2

  2. 6π cm2

  3. 24π cm2

  4. 2π cm2
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B Correct answer
Explanation

Area of sector = (theta / 360) * pi * r^2. (60 / 360) * pi * 6^2 = (1/6) * 36 * pi = 6 * pi.

AI explanation

The area of a sector of a circle is found using the formula theta over 360 times pi r squared. With a radius of 6 cm and a sector angle of 60 degrees, the calculation is 60 over 360 times pi times 6 squared. This simplifies to one sixth times pi times 36, resulting in an area of 6 pi square centimetres.

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