Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
18th May, 2024

a = 2+2

a = 4 units.


b = a-½(2)

b = 4-1

b = 3 units.


c² = 2(3²)

c = √(18)

c = 3√(2) units.


d² = (3√(2))²+4²-2*3√(2)*4cos45

d = √(10) units.

d = 3.1622776602 units.

d is the radius of the circle.


Let the required angle, alpha be e.


It implies;

Calculating e.


(√(10)/sin45) = (4/sine)

e = 63.4349488229°

e = (45+atan(⅓))°

Again, e is alpha the required angle.


Or


Angle alpha, e is;


g = 4-3

g = 1 unit.


tanf = 1/3

f = atan(⅓)°


Therefore;


e = 45+f

e = (45+atan(⅓))°

e = 63.4349488229°

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