Mathematics Question and Solution
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 units.
It implies;
Calculating r, radius of the circle.
e² = (6+r)²+11²-22(6+r)cos60
3r² = 36+12r+r²+121-66-11r
2r² = r+91
2r²-r-91 = 0
2r²-14r+13r-91 = 0
2r(r-7)+13(r-7) = 0
(2r+13)(r-7) = 0
It implies;
r ≠ -6.5 units.
r = 7 units.
