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Answer:
PR = 26 cm.
Step-by-step explanation:
Hey!
We see pq is tangent.
So triangle poq is rt angled.
(tangent forms right angle at the point of contact with the radius of circle)
So,
We get :
Po^2 = 3^2 + 4^2 (Pythagoras th.)
(PQO is rt angled triangle)
Po^2 = 9 + 16 = 25
➡️ PO = 5 cm
Similarly,
SO'R is rt angled triangle
So,
5^2 + 12 ^2 = RO'^2
25 + 144 = RO'^2
RO'^2 = 169
➡️ RO' = 13 cm
Let point of intersection of both circles be X.
Then,
➡️ OX = 3 cm (radius)
➡️ O'X = 5 cm (radius)
We see,
✔️PR = PO + OX + O'X + O'R
✔️PR = 5 + 3 + 5 + 13 CM
✔️PR = 26 cm
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