Jeanie wants to hang a circular mirror in a frame in her front hall. Determine the area of the largest mirror Jeanie can hang if the frame h

Question

Jeanie wants to hang a circular mirror in a frame in her front hall. Determine the area of the largest mirror Jeanie can hang if the frame has a circumference of 56 inches.

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Tryphena 4 years 2021-08-13T07:32:11+00:00 1 Answers 25 views 0

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  1. Helga
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    2021-08-13T07:34:01+00:00
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    Answer:

    254.5 in^2

    Step-by-step explanation:

    Given that the circumference  of the frame is 56in

    we can proceed to obtain the radius of the frame

    we know that

    circumference= 2πr

    56= 2*3.142*r

    56= 6.284r

    divide both sides by 6.284

    r= 56/6.284

    r=8.9

    approximately radius is 9in

    therefore the area of the mirror that is largest would be

    Area=  πr^2

    Area= 3.142*9^2

    Area= 3.142*81

    Area= 254.5 in^2

    The largest area is 254.5 in^2

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