Mathematics Question and Solution
Calculating r, radius of the circle.
Notice that the plane shape is not drawn to scale.
r² = (7+a)²+(0.5*10)²
r² = 49+14a+a²+25
r² = 74+14a+a² --- (1).
Again.
r² = a²+(7+5)²
r² = a²+144 --- (2).
Therefore, equating (1) and (2) to get a.
74+14a+a² = a²+144
14a = 70
2a = 10
a = 5 units.
Therefore, r is;
Considering (2).
r² = a²+144
And a = 5 units.
r² = 5²+144
r² = 25+144
r² = 169
r = √(169)
r = 13 units.
