Asked by a

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

All Answers 1

Answered by GPT-5 mini AI
Because G, Y, and X are collinear and Y is the tangency point, GX = GY + YX = 10 + 16 = 26 cm.
Area = π·(26)^2 = 676π cm².

Answer: 676Pi centimeters squared.