Sir Mike Ambrose is the author of the question.
AC = 12 cm.
AB = 10 cm.
Therefore Area red exactly in cm² is;
Area triangle with two side (165/90) cm and √(61) cm, and angle atan(5/6)°
=...
Calculating blue area (area inscribed half circle).
15² = 13²+14²-2*13*14cosa
364cosa = 140
a = 67.380135052°
(15/sin67.380135052) = (13/sinb)
b = 53.1301023542°
c = 180-a-b
c = 59.489...
a = ½(360-90)
a = ½(270)
a = 135°
b² = 6²+(4√(2))²-2*6*4√(3)cos135
b = 2√(29) units.
b = 10.7703296143 units.
2c² = b²
2c² = (2√(29))²
2c² = 4*29
c² = 58
c = √(58) units.
c is the ra...
Calculating Area Yellow.
Let a be the radius of the ascribed semi circle.
b²+6² = a²
b = √(a²-36) units.
b is the radius of the inscribed half circle.
Therefore, area yellow is;
½(a²)...
Let the side length of the regular hexagon be 1 unit.
a = ⅙*180(6-2)
a = 120°
a is the single interior angle of the regular hexagon.
sin30 = b/1
b = ½ units.
cos30 = c/1
c = ½√(3) uni...
Sir Mike Ambrose is the author of the question.
a² = 10²+16²-2*10*16cos120
a = 2√(129) units.
Where a is length AC.
(3√(129)/sin120) = (16/sinb)
b = 37.58908946897°
c = 90-b
c = 52.410...
Sir Mike Ambrose is the author of the question.
a² = 10²+16²-2*10*16cos120
a = 2√(129) units.
Where a is length AC.
(3√(129)/sin120) = (16/sinb)
b = 37.58908946897°
c = 90-b
c = 52.410...
Let the side length of the regular hexagon be 1 unit.
Therefore;
a = 1 unit.
Calculating b.
Cos30=a/c
And a = 1
c = 1/cos30
c = ⅔√(3) units.
Where c is the hypotenuse of the r...
Sir Mike Ambrose is the author of the question.
Area Blue, in cm² to 1 d. p. is;
Half area regular pentagon with side 12 cm - area triangle with height 6 cm and base 6tan24 cm - area triangle w...
Calculating yellow area.
a = ½(10)
a = 5 km.
a is the radius of the inscribed circle.
tanb = 5/10
b = atan(½)°
c = 180-2b
c = (180-2atan(½))°
d² = 2(5²)-2(5²)cos(180-2atan(½))
d =...
