Mathematics Question and Solution
x ~ 7
7 ~ y
Cross Multiply.
y = 49/x units.
Notice.
7 units is the radius of the green inscribed half circle.
x = 5 units.
x is the radius of the red inscribed half circle.
Therefore;
y = 49/5 units.
y = 9.8 units.
a = 7+5
a = 12 units.
a is the width of the ascribed rectangle.
b = 7+9.8
b = 16.8 units.
b is the length of the ascribed rectangle.
It implies;
Area rectangle is;
a*b
= 12*16.8
= 201.6 square units.
Let alpha be d.
Calculating secd
e² = 12²+16.8²
e² = 426.24
e = 20.6455806409 units.
e is the diagonal of the ascribed rectangle.
Note.
secd = 1/(cosd)
Calculating cosd.
cosd = 16.8/20.6455806409
cosd = 0.81373347121
Therefore;
secd = 1/0.81373347121
secd = 1.22890360958
