Circle g and x connect at point y. the length of g y is 10 centimeters and the length of y x is 16 centimeters.
point g is the center of the small circle. point x is the center of the large circle. points g, y, and x are all on line segment gx.

marco wants to create a new circle using gx as a radius. what will be the area of marco’s new circle?

10pi centimeters squared
16pi centimeters squared
356pi centimeters squared
676pi centimeters squared

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)

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.