The area of the sector of pie with angle 37 degrees is 98.83 square feet.
The diameter is given as the distance across a circle in a line passing through the center of the circle. The length of a diameter is double the length of the radius of the circle.
The given circular pie has a diameter of 35 feet. The sector of the pie cut down has an angle of 37 degrees.
The area of the sector is given as:
[tex]\rm Area\;of\;sector=\dfrac{\theta}{360}\;\times\;\pi rr^2[/tex]
The radius of the pie is:
[tex]\rm r=\dfrac{d}{2}\;feet\\\\r=\dfrac{37}{2}\;feet\\\\r=17.5\;feet[/tex]
The area of the piece of pie is given as:
[tex]\rm Area=\dfrac{37}{360}\;\times\;3.14\;\times\;(17.5)^2\;feet^2\\Area=98.83\;ft^2[/tex]
The area of the sector of pie with angle 37 degrees is 98.83 square feet.
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