oliviadye527
oliviadye527 oliviadye527
  • 17-05-2022
  • Mathematics
contestada

A sector whose central angle measures 72º has an area of 16.211 square feet. What is the radius of the circle?

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mathstudent55
mathstudent55 mathstudent55
  • 17-05-2022

Answer:

81.055 ft²

Step-by-step explanation:

A full circle has a central angle of 360°.

A sector with a central angle is 72° is 72/360 = 1/5 of a circle.

A full circle has 5 times the area of a sector with a 72° central angle.

A = 5 × 16.211 ft²

A = 81.055 ft²

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