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?

a. 10 pie cm2
b. 16 pie cm2
c. 356 pie cm2
d. 676 pie cm2

The answer 
if Marco wants to create a new circle using GX as a radius,
so GX = r = 10 cm + 16 cm = 26 cm
the area of a circle is 

A = pie x r², so the new circle's area should be A = pie x 26² = 676 pie cm²
the true answer is 

D. 676 pie cm2

Answer-

The area of Marco’s new circle will be cm²

Solution-

Point G is the center of the small circle.

Point X is the center of the large circle.

Points G, Y, and X are colinear.

Hence,

GY = 10 cm

YX = 16 cm

So, GX = GY + YX = 10 + 16 = 26 cm

Hence, area of the circle with radius as GX will be,

Therefore, the area of Marco’s new circle will be cm²

Y= 24 & Y=0

Step-by-step explanation: