Math problem of the day

Question:
A sector of a circle is formed by a central angle of 90⁰. Which expression describes the area of this sector if R is the radius of the circle?

Answers variants: A. R²/4π   B. 4πR   C. 4πR²   D. πR/4   E. πR²/4


Correct answer: E. πR²/4
Tutorial:

The area of the circle is πR², so the sector which is formed by a central angle of 90⁰ contains 1/4 of the area of the circle. So the area of the sector is πR²/4.
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The correct answer is (E).

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