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8 November, 21:23

A circle has a radius of 2.5 centimeters and a central angle AOB that measures 90°. What is the area of sector AOB? Use 3.14 for pi and round your answer to the nearest tenth

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  1. 9 November, 00:49
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    Since there are 360 degrees in a circle, we have 360/90=4, meaning that sector AOB is 1/4th of the area of the circle. Since the area of a circle is πr², we can plug that in to get 3.14 (2.5) ²=19.625 as our total area. Since AOB is 1/4 of that, we multiply 19.625 by 1/4 to get 4.90625 as the area of sector AOB
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