“Mathematics is the most beautiful and most powerful creation of the human spirit.”
Stefan Banach
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Calculating x (radius of the small inscribed circle)
28² + x² = (56-x)²
784 + x² = 3136 - 112x + x²
112x = 2351
x = 21 units.
Calculating r, radius of the four congruent circles.
Area square with side 2r cm - Area circle with radius r cm = Area green.
(2r)² - πr² = 144π
4r² - πr² = 144π
(4-π)r² = 144π
r² =...
Area Area Blue is;
Area semi circle with radius √(2) units - Area quarter circle with radius 2 units + Area triangle with height and base 2 units respectively.
= ½(√(2)²)π - ¼(2²)π + ½(2²)...
Area Blue is;
Area triangle with height 4 cm and base (4sin150) cm
= ½*4*(4sin150)
= 2(4sin150)
= 8sin150
= ½(8)
= 4 cm²
