sqrt(15) = 3.873 cm (approx)
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Using Pythagoras' theorem: 15 times the square root of 2 cm in length
Area = 1/2*14*15 = 105 square cm
Area = (pi) (radius)2 = 225 pi = 706.858 square centimeters (rounded)
Tough to do this without a picture but here goes... Assuming the 4 semi-circles come right out of the corners of the square, they would be equal to two circles with diameters of 15cm apiece and radii of 7.5 The area of the square is 15 x 15 = 225 sq. cm The area of the circles is 2 (pi x 56.25) 225 + 353.43 = 578.43 sq. cm
Area = Side * Side