Shaded Area is;
Area sector with radius 1 unit and angle 2atan(½)° - Area triangle with two lengths 1 unit each and angle 2atan(½)°, the angle they form + Area sector with radius ½ units and ang...
Area triangle ABC is;
½(3*(36/5))
= (54/5) square units.
Calculating Area Yellow.
The point coordinates are;
((54/23), (36/23)) (3, 2) ((3/2), (18/5))
Therefore Area Yellow is;
= (39/4...
Area Triangle Blue (S2) is;
½(12)
= 6 square units.
Area Triangle Yellow (S1) is;
½(1.4)sin(atan(4/3))
= (14/25) square units.
Therefore;
S1/S2
= (14/25)/6
= 7/75
Sir Mike Ambrose is the author of the question.
Let the single side length of the square be 2 units.
Therefore;
Area square is;
2*2
= 4 square units.
Area red is;
Area triangle with...
The area of the flower is;
8(area quarter circle with radius 10 cm - area of triangle with height and base, 10 cm respectively)
= 8(¼(100π)-½(100))
= 8(25π - 50) cm²
= 200(π-2) cm²
Let the single side length of the regular hexagon be 1 unit.
Therefore;
Area Regular Hexagon is;
(6*1)/(4tan(180/6))
= ½(3√(3)) square units.
Area Blue/Shaded is;
2(area triangle...
Area Yellow is;
Area quarter circle with radius 6 cm - Area sector with radius 6 cm and angle 20° - Area triangle with two equal length 6 cm and angle 40°, the angle they form - Area sector with...
Calculating R, radius of the quarter circle.
¼πR²=64π²
R = 16√(π) cm
Calculating x, radius of the green inscribed semi circle.
(2x)²+x²=(16√(π))²
Therefore;
5x² = 256π
x = (16√(5π))/5...
Let the single side length of the hexagon be 2 units.
Therefore;
AG =√(8-8cos150) units.
Calculating AH.
AH = √((8-8cos150)+4-4√(8-8cos150)cos105)
AH = 4.78834034195 units
Therefor...
a² = 2(15)²
a = √(2(15)²)
a = 15√(2) units.
b²+21² = a²
b² = 450-441
b² = 9
b = 3 units.
tanc = 15/15
c = 45°
tand = 3/21
d = atan(1/7)°
e = 180-c-d
e = 135-atan(1/7)
e = (45+a...
