Let the radius of the green inscribed quarter circle be x.
Let the radius of the blue inscribed quarter circle be y.
a² =2x²
a = √(2)x units.
b = (x+1) units.
c = (y+1) units.
x²+(x+1)² = (x+...
Sir Mike Ambrose is the author of the question.
12²=10²+10²-2*10*10cosa
cosa = (200-144)/200
a = acos(56/200)°
a = acos(7/25)°
a = 73.73979529169°
b = c = ½(180-73.73979529169)
b = c = 53.130102354...
Sir Mike Ambrose is the author of the question.
Let the radius of the ascribed quarter circle be 2 units.
Area Quadrant is;
¼(4)π
= π square units.
The radius, r of the congruent inscribed semi-c...
Sir Mike Ambrose is the author of the question.
a = ½√(2²+2²)
a = √(2) units.
b² = (√(2))²+(√(2))²
b = 2 units.
c² = 3²+1²
c = √(10) units.
d = (135+atan(⅓))°
e² = 10+2-2√(20)cos(135+atan(⅓))
e...
Sir Mike Ambrose is the author of the question.
(a) Calculating Length Blue ÷ AB.
Let AB be 1 unit.
a² = 1²+1²-2cos108
a = 1.61803398875 units.
b² = 1.61803398875²-0.5²
b = 1.53884176859 units....
Sir Mike Ambrose is the author of the question.
Let the small regular hexagon be 2 units.
a² = 2²+1²-2*2*1cos120
a = 2.64575131106 units.
Where a is the side length of the big regular hexagon.
(2...
Let the big square side length be 1 unit.
tan15 = a/1
a = 0.26794919243 units.
b = 1-0.26794919243
b = 0.73205080757 units.
sin75 = c/0.73205080757
c = 0.70710678119 units.
c is the side length...
Let AB be 2 units.
tan(atan½) = a/1
a = ½ unit.
b = (atan(⅔))°
tan(atan⅔) = c/1
c = ⅔ units.
d = (180-atan⅔-atan2)°
(e/sin(atan2)) = (1/sin (180-atan⅔-atan2))
e = ¼√(13) unit.
It implies;
Are...
Let the side length of the regular pentagon be 1 unit.
a² = 2-2cos108
a = 1.61803398875 units.
a is the side length of the square.
sin18 = b/1
b = 0.30901699437 units.
cos18 = c/1
c = 0.951056516...
Our certified, experienced, resilient, productive and committed Math Educators will be glad to be at your service.
We make teaching and learning Mathematics fun for learners, we expose the simplicit...
