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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)
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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
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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
\[\large 784 - 196\pi\]
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