Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Length of OG = 16
Length of PE = 9
Let us draw a perpendicular AE to OG which intersects at A.
Length of AG = OG - PE
= 16 - 9
= 7
Length of AE = OP
= OT + TP
= OG + PE [Since, OT = OG and TP = PE, radii of the circles]
= 16 + 9
= 25
By applying Pythagoras theorem in ΔGAE,
GE² = AG² + AE²
GE² = 7² + 25²
GE = √674
GE = 25.96
≈ 26
Option (2) will be the correct option.
