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Let AB, the side length of the square be 1 unit.
a² = 1²+1²
a = √(2) units.
b²+1² = c²
c = √(b²+1) units.
b is the radius of the inscribed circle.
d² = 2b²
d = √(2)b units.
It impli...
Calculating Area of the inscribed Square.
tana = 18/9
a = atan(2)°
Let the side length of the square be b.
sin(atan(2)) = b/c
c = (b/0.894427191) units.
cos(atan(2)) = d/b
d = 0.44...
Length NP is;
√(20²+5²) - (9+3)
= √(425) - 13
= (5√(17)-13) cm.
= 7.6155281281 cm.
Red area is;
½(Area rectangle of length 2r and width r - area semi circle of radius r) - area triangle of height 2r and base r + area sector of radius r and angle (2tan–¹(1/2))° + area triangle...
Sir Mike Ambrose is the author of the question.
Please, move the question left or right to review the solution.
Thank you!
Sir Mike Ambrose is the author of the question.
Yellow Area exactly in square units is;
½*√(3)*(4√(3)-4)
= ½(12-4√(3))
= 2(3-√(3)) square units.
= 2.5358983849 square units.
