ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;
This implies that
Divide both sides by 4 to get;
|WY|=|ZX|=13-3=10
Given:
Circle C and circle R are similar.
The length of arc AB is
The radius of circle C (AC) = 4 unit
The radius of circle R (QR) =6 unit
To find the length of arc QP.
Formula
The relation between s, r and is
where,
s be the length of the arc
r be the radius
be the angle.
Now,
For circle C
Taking r = 4
According to the problem,
or, [ eliminating
from both side]
or,
or,
Again,
For circle R
Taking, r = 6 and we get,
The length of arc QP is
or,
Hence,
The length of QP is . Option C.
