Calculating r, radius of a circle.
a = (r-2) cm.
b = (r-1) cm.
It implies;
r² = (r-2)²+(r-1)²
r² = r²-4r+4+r²-2r+1
r²-6r+5 = 0
r²-r-5r+5 = 0
r(r-1)-5(r-1) = 0
(r-1)(r-5)...
Calculating Area Red.
tana = 12/6
a = atan(2)°
b = 90-a
b = atan(½)°
c = 180-2a
c = 2atan(½)°
Red area is;
Area square with side 12 cm - Are ma quarter circle with radius 12 cm -...
Calculating the yellow shaded area.
a² = 2²+4²
a = √(20)
a = 2√(5) cm.
tanb = 2/4
b = atan(½)°
tanc = 4/2
c = atan(2)°
It was;
d = 180-b-c
d = 90°
Shaded yellow area is;
¼...
Calculating x.
a² = 24²+x²
a = √(x²+576) units.
a is the diameter of the ascribed circle.
b = ½(a)
b = ½√(x²+576) units.
b is the radius of the circle.
c = (x-11) units.
d = ½√(x²+5...
Calculating angle x.
Let the top horizontal length of the ascribed quadrilateral be 1 unit.
a = 180-50-60-20
a = 50°
b = 180-60-50-10
b = 60°
It implies;
x = ½(180-20)
x = ½(160...
Calculating r, radius of the circle.
a = (10-r) units.
It implies;
r² = (10-r)²+5²
r² = 100-20r+r²+25
20r = 125
2r = 12.5
r = 6.25 units.
Calculating blue area (area triangle BDE).
a = ½(32+7)
a = ½(39)
a = 19.5 units.
a is the radius of the ascribed half circle.
b = 19.5-7
b = 12.5 units.
12.5² = 17²+19.5²-2*17*19.5cosc...
Sir Mike Ambrose is the author of the question.
Calculating Area Lilac ÷ Area Large Square.
Let the radius of the semi circle be 1 unit.
Therefore;
Area lilac is;
Area triangle with he...
Sir Mike Ambrose is the author of the question.
Calculating Area Blue ÷ Area Green in its simplest form.
Let the single side length of the regular octagon be 2 units.
Therefore;
Area gre...
Calculating r, radius of the circle.
a = (r-4) units.
b = a+r
b = (2r-4) units.
8c = 4(2r-4)
c = (r-2) units.
d = 8+c
d = (6+r) units.
e² = 2r²+2r²cos120
e² = 3r²
e = √(3)r unit...
