mikaylawashington mikaylawashington
  • 08-05-2021
  • Mathematics
contestada

A circle has a diameter of 12 centimeters. A sector of the circle is 9 square centimeters. What is the measure of the central angle whose radii define the sector?

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wolf1728
wolf1728 wolf1728
  • 08-05-2021

Answer:

sector area = [central angle / 360] * PI * radius²

central angle = sector area * 360 / [PI * radius²]

central angle = 9 cm² * 360 / [3.14159 * 6²]

central angle = 28.6479139544 degrees

Source: http://www.1728.org/radians.htm

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