Answer:
[tex]\fbox {r = 34}[/tex]
Step-by-step explanation:
Finding IQ and RJ by tangent rule :
⇒ IQ = QK = 10
⇒ KR = RJ = 8
Finding PJ :
⇒ PJ = 32 - 8
⇒ PJ = 24
∴ But PJ = PI (by tangent rule)
⇒ PI = 24
Finding r :
⇒ PI + IQ
⇒ 24 + 10
⇒ r = 34
