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Area, SM-Bank 112

Calculate the area of the following quadrant, giving your answer as an exact value in terms of \(\pi\).  (2 marks)

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\(\dfrac{225\pi}{4}\ \text{cm}^2\)

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\(\text{Area quadrant}\) \(=\dfrac{1}{4}\times\pi r^2\)
  \(=\dfrac{1}{4}\times\pi\times 15^2\)
  \(=\dfrac{225}{4}\pi\)
  \(=\dfrac{225\pi}{4}\ \text{cm}^2\)