point g is the center of the small circle. point x is the center of the large circle. points g, y, and x are…

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 $overline{gx}$ as a radius. what will be the area of marcos new circle? 10$pi$ cm² 16$pi$ cm² 356$pi$ cm² 676$pi$ cm²

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 $overline{gx}$ as a radius. what will be the area of marcos new circle? 10$pi$ cm² 16$pi$ cm² 356$pi$ cm² 676$pi$ cm²

Answer

Explanation:

Step1: Calculate the length of GX

Since GY = 10 cm and YX = 16 cm, then GX=GY + YX. So, GX = 10+16=26 cm.

Step2: Find the area of the new - circle

The area formula of a circle is $A=\pi r^{2}$, where r is the radius. Here, r = GX = 26 cm. Substitute r = 26 into the formula: $A=\pi\times26^{2}=676\pi$ $cm^{2}$.

Answer:

D. $676\pi cm^{2}$