A rectangle is inscribed in a circle 17 in.
18 in.
15 in.
Part A
Calculate the exact area of the cirde. Use the key on the calculator. Round answer to the nearest hundredth if necessary
square inches
Part B
Calculate the area of the rectangle. Round answer to the nearest hundredth if necessary
A=
square inches
Part
Calculate the area of the shaded region
Area of the shaded region
square inches

9514 1404 393

  A) 226.98 in^2

  B) 120 in^2

  C) 106.98 in^2

Step-by-step explanation:

A) The diagonal of the rectangle is the diameter of the circle. The area can be found using the formula ...

  A = (π/4)d^2

  A = (π/4)(17 in)^2 = 72.25π in^2 ≈ 226.98 in^2

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B) The area of the rectangle is the product of its length and width:

  A = LW

  A = (15 in)(8 in) = 120 in^2

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C) The shaded area is the difference between the circle area and the rectangle area:

  shaded area = (226.98 in^2) -(120 in^2) = 106.98 in^2

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