Let the radius of the red circle be r.
Calculating r.
It will be;
√(13²-5²)=√((9+r)²-(9-r)²)+√((4+r)²-(4-r)²)
12=√(36r)+√(16r)
12=10√(r)
√(r)=1.2
r=1.44 unit.
Calculating angle PQR considering triangle PQR.
It will be;
Cos–¹((13²+5.44²-10.44²)/(2x13x5.44))
= 50.6923518839
Therefore length RX will be;
√(4²+5.44²-2x4x5.44cos50.6923518839)
= 4.24551165713 unit.
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