Let a be the side length of the square.
b² = 13²+a²
b = √(169+a²) units.
c² = 2a²
c = √(2)a units.
d²+5² = a²
d = √(a²-25) units.
e = b-d
e = (√(169+a²)-√(a²-25)) units.
Calculat...
b = √(625-a²) units.
c = √(a²-256) units.
Where a is the diameter of the blue circle.
Calculating a.
b² = c²+9²
√(625-a²)² = √(a²-256)²+9²
625-a² = a²-256+81
625-a² = a²-175
2a² = 8...
Calculating angle x.
x = 180-½(360-100-160)
x = 180-½(360-260)
x = 180-½(100)
x = 180-50
x = 130°
a² = 4²+1²
a = √(17) units.
a is the diameter of the circle.
b = ½(a)
b = 0.5√(17) units.
b is the radius of the circle.
Area circle is;
π(b²)
= π(0.5√(17))²
= ¼(17π) square units....
a = 1+3
a = 4 cm²
b² = 4
b = 2 cm.
0.5*2c = 1
c = unit.
d² = 1²+2²
d = √(5) units.
It implies;
√(5) - 1
1 - e
Cross Multiply.
e = 1/√(5)
e = ⅕√(5) units.
f = d+e
f =...
Let the radius of the ascribed semi circle be 1 unit.
a² = 2(1)²
a = √(2) units.
b = ½(a)
b = 0.5√(2) units.
b is AM = CM.
c² = 1²+1²-2*1*1cos(0.5*90)
c = 0.7653668647 units.
c is CN....
Let the single side length of the green square be x.
Therefore;
x ~ √(9-x²)
2 ~ 3
Cross Multiply.
3x = 2√(9-x²)
9x² = 4(9-x²)
9x² = 36-4x²
13x² = 36
x² = 36/13
Therefore the area of...
Sir Mike Ambrose is the author of the question.
Let the width of the rectangle be x and the length be y.
Let the unknown inscribed length of the rectangle be z.
Calculating z.
√(74)²+√(58)...
r = 5√(145)/8 unit.
Please, move the above question one time, right/left to review the solution.
Thank you.
Let a be the radius of the circle.
b = (a-1) units.
7² = a²+b²-2abcosc --- (1).
11² = a²+b²+2abcosc --- (2).
At (1).
7² = a²+b²-2abcosc
2abcosc = a²+b²-49 --- (3).
Substituting (...
