Answer:
676π Sq. cm.
Step-by-step explanation:
The line GY is the radius of the circle with G as center and Y is a point on the circle.
Now, GY = 10 cm.
Again, the line XY is the radius of the circle with X as center and Y is a point on the circle.
Now, XY = 16 cm
The two circles touched at point Y,
Therefore, point Y will be on line GX.
Now, GX = GY + YX = 10 + 16 = 26 cm.
Therefore, Marco wants to create a new circle using GX as the radius, then the area of the new circle will be π (26)² Sq. cm. = 676π Sq. cm. (Answer)