a = 5-4
a = 1 cm.
b² = 12²+1²
b² = 145
b = √(145) cm.
c = 4+5
c = 9 cm.
Therefore, length x is;
x²+9² = √(145)²
x² = 145-81
x² = 64
x = √(64)
x = 8 cm.
Let the square side be 1 unit.
Let r be the radius of the semi circle.
Calculating r.
c² = 2(1)²
c = √(2) units.
c is the diagonal of the square.
tand = 1/0.5
d = atan(2)°
e = 180-...
cosa = ½
a = acos(½)°
a = 60°
Calculating Red Perimeter.
It is;
2(length of arc of a sector with radius 2 units and angle acos(½)°).
= 2(acos(½)π*2*2/360)
= 4.1887902048 units.
Calculating Gree...
a = (1+x) units.
a is the diameter of the semi circle.
b = ½(a)
b = ½(1+x) units.
b is the radius of the semi circle.
c = x units.
c is the radius of the quarter circle.
Notice!
A-B =...
Let a be 1 unit.
(1/sin45) = (c/sin75)
c = 1.3660254038 units.
d = 75+45
d = 120°
e = 60-15
e = 45°
Calculating b.
(b/sin15) = (1.3660254038/sin45)
b = 0.5 units.
Therefore;
a/b is;
1÷0.5
= 1÷...
a² = 3²+4²
a = √(25)
a = 5 units.
2b² = 5²
b² = (25/2)
b = √(25/2)
b = ½(5√(2)) units.
b is the radius of the semi circle.
c = 90+45
c = 135°
(½(5√(2))/sin135) = (3/sind)
d = 36.8698976462°
e =...
r = ½(7) units.
r is the base radius of the cylinder.
H = 6 units.
H is height.
h = 10-6
h = 4 units.
h is height.
Therefore, volume of the cylinder is;
πr²H+½(πr²h)
= π*(7/2)²*6+½*π...
Calculating R, radius of the circle.
b = 360-240
b = 120°
b is the angle that is subtended by the 9 units chord with the radius of the circle.
R, radius of the circle is;
Observing Cosine Rule.
9...
Let the side length of the regular octagon be 1 unit.
Notice!
x, radius of the green inscribed circle is 1 unit.
a = ⅛*180(8-2)
a = ⅛(1080)
a = 135°
a is the single interior angle of the regular o...
a = 10 units.
a is the radius of the circle.
b = (20-2x) units.
c = ½(b)
c = ½(20-2x)
c = (10-x) units.
It implies;
Calculating x.
10² = 2c²
100 = 2(10-x)²
100 = 200-40x+2x²
2x²-...
