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Charles opened a door hinged at O by an angle of 45 degrees. The width of the door was 80 centimeters. Find the area swept by the door. Leave your answer in terms of pie

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Answer:

A=800πcm²

Step-by-step explanation:

Knowing that the area of a circular sector is:

[tex]A_{cs}=\frac{\pi\alpha r^{2}}{360}[/tex]

where α is the sweep angle and r in the radio (according to the graph),

then

A=(45° π 80²)/360° = 800πcm²

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