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March 26, 2017

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Three circles are externally tangent to one another. The radius of each of the circles is 2 cm. A belt fits tightly around the three circles. Find the length of the belt. Express your answer in terms of pi with an explanation.

  • geometry - ,

    πd is the circumference of a circle, so with a diameter of 4 a single circle has a circumference of 4π. 1/3 of each circle is in contact with the belt, so that total part is still 4π. Then, the part of the belt connecting from tangent to tangent is 2 radii, so 3 areas is 12. The belt would then be 12+4π cm.

  • geometry - ,

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    3.
    Which is greater, the circumference of a circle with radius 3 ft, or the distance around a semicircle with diameter 16 ft? By how much?
    A. circle, by 4 ft
    B. circle, by 2 ft
    C. semicircle, by 4 ft
    D. semicircle, by 2 ft

  • geometry - ,

    d

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