Mathematics

Question

Find the area of the shaded region of the circle. Round to the nearest hundredth.

160.78
615.75
547.62
454.97
Find the area of the shaded region of the circle. Round to the nearest hundredth. 160.78 615.75 547.62 454.97

2 Answer

  • Answer:Area of shaded region is 454.97

    Step-by-step explanation:

    The formula for determining the area of a circle is expressed as

    Area of circle = πr^2

    Where

    r represents the radius of the circle.

    π is a constant whose value is 3.14

    From the information given,

    r = 14

    Area of the circle = 3.14 × 14^2 = 615.44

    The shaded area is a sector

    Area of a sector is expressed as

    Area = #/360 × πr^2

    Where

    # = 94 = central angle

    Area of sector = 94/360 × 3.14 × 14

    = 160.68

    Area of shaded region would be

    615.44 - 160.68

    = 454.97

  • Answer:

    454.97 unit^2.

    Step-by-step explanation:

    The area of the whole circle = pi r^2

    = 14^2 pi.

    As there are 360 degrees in a circle the area  of the shaded region , by proportion = [ (360 - 94) / 360  ] * 14^2 pi

    = 454.972 unit^2.

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