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16 July, 18:22

1. A 30 ft copper wire is cut into 3 equal pieces. Each piece of copper is re-formed to make 3 complete circles.

(a) What is the circumference of each circle?

(b) What is the radius of each circle? Round your answer to the nearest tenth. Use π 3.14.

(c) What is the area of each circle? Round your answer to the nearest tenth. Use π = 3.14.

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  1. 16 July, 18:28
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    a). If you cut 30-ft of wire into 3 equal pieces, then each piece

    pretty much has to be 10-ft long, no matter what you do to it.

    Whatever shape you make it, the perimeter of the shape is 10-ft.

    If you form it into a perfect circle, then the circumference of the

    circle is 10-ft.

    b). Remember that in ANY circle

    Circumference = (π) times (diameter)

    10-ft = (3.14) x (diameter)

    Divide each side by 3.14: 10-ft/3.14 = Diameter

    Radius = 1/2 the diameter

    Diameter = 2 x radius 10-ft/3.14 = 2 x radius

    Divide each side by 2: 5-ft / 3.14 = radius

    1.59-ft = radius.

    c). Area of any circle = (π) times (radius) ²

    Area = (3.14) x (1.59-ft) ²

    = (3.14) x (2.53 ft²)

    = 7.94 ft² (rounded)
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