In the diagram O and O' are the centres of the circles radii 15cm and 8cm respectively. If PQ = 12cm, find |OO'|.
Attached Figure / Diagram
A
8.46cm
B
19.04cm
C
20.81cm
D
26.16cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
In \(\Delta\) POQ,
\(12^2 = 15^2 + 15^2 - 2(15)(15) \cos < POQ\)
\(144 = 450 - 450\cos < POQ\)
\(450 \cos < POQ = 450 - 144 = 306\)
\(\cos
Source: Myschool Past Questions Archive (Record #26549)