Answer:
Step-by-step explanation:
1) ∠P = 14
∠O = x
∠Q = 90 {tangent and radius meet at 90 in the point of contact}
ΔOPQ,
Sum of all angles = 180
∠P +∠O +∠Q = 180
14 + x + 90 = 180
104 +x = 180
x = 180 - 104
x = 76
2) AB = 9
AO = 10.5
Using Pythagorean theorem
AB² + OB² = OA²
9² + r² = 10.5²
81 + r² = 110.25
r² = 110.25 - 81
r² = 29.25
r = √29.25
r = 5.4
