SOLUTION: hello, please help me solve this math question: the figure is made up of four identical squares of side length 14 inches. A quadrant is drawn inside each square. find the total ar

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Question 959765: hello, please help me solve this math question:
the figure is made up of four identical squares of side length 14 inches. A quadrant is drawn inside each square. find the total area of the unshaded parts of the figure. you can find the diagram in the link below, question 9. thanks!
Link: http://ibkmartin.weebly.com/uploads/1/0/3/4/10343187/chapter_8_study_guide.pdf
Found 2 solutions by macston, MathLover1:
Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
Take the area of the large (28" x 28") square, subtract the area of the 14" radius circle
and add back the area of the inner square (1/2 the area of 4 - 14" x 14" squares):
Shaded Area=large square area-circle area+small square area
Shaded area=
Shaded area=
Shaded area=
ANSWER: The shaded area is 560 square inches.

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

inside square: side a has an area of
from one right-angle triangle with hypotenuse a, and legs each we have

then the area should be deducted from the area of the circle with radius r=14

shaded area is the difference between area of the

................shaded area

unshaded area is the difference between area of the large square whose side is and shaded area
the large square area =>

unshaded area will be