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Mathematics 14 Online
OpenStudy (anonymous):

done

OpenStudy (fifciol):

You first calculate the area of square, than substract 4 times the area of that quarter a circle

OpenStudy (amistre64):

4 times the area of a 1/4 of a circle ... is the area of a full circle :)

jimthompson5910 (jim_thompson5910):

what's the area of the square?

jimthompson5910 (jim_thompson5910):

that's the area of a full circle with radius 14 what is the area of one-quarter of that full circle?

jimthompson5910 (jim_thompson5910):

take the full area and divide it by 4 (leave it in terms of pi)

jimthompson5910 (jim_thompson5910):

actually because there are 4 congruent circular pieces in each corner, you can combine those pieces (each 49pi square inches each) to get 196pi square inches

jimthompson5910 (jim_thompson5910):

now what is the area of the square?

jimthompson5910 (jim_thompson5910):

what was done so far was figuring out the area of the circle pieces

jimthompson5910 (jim_thompson5910):

that's not the area of the square

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

what's the side length of the square

jimthompson5910 (jim_thompson5910):

14 is NOT the side length of the full square and you're using the perimeter formula

jimthompson5910 (jim_thompson5910):

14 is half the side length so the full side length is ???

jimthompson5910 (jim_thompson5910):

good, now subtract off 196pi

jimthompson5910 (jim_thompson5910):

so your final answer is \[\large 784 - 196\pi\]

jimthompson5910 (jim_thompson5910):

no you just leave it like that

jimthompson5910 (jim_thompson5910):

you cannot combine 784 and 196pi

jimthompson5910 (jim_thompson5910):

you just leave it like \[\large 784 - 196\pi\]

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