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    NationalHardGeometry7–9

    What is the area of a sector with radius 10 cm and central angle 72^\circ?

    Qual é a área de um setor com raio 10 cm e ângulo central 72^\circ?

    A circle with its centre marked. A wedge of 72 degrees, one fifth of the circle, is shaded from the top round to the right. One radius bounding the wedge is drawn and labelled 10 cm.10 cm72°

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    Solution

    A = \frac{\theta}{360} \times \pi r^{2} = \frac{72}{360} \times \pi \times 100 = \frac{1}{5} \times 100\pi = 20\pi \text{ cm}^{2}