Question

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

Explanation:

Step1: Calculate the length of GX

$GX=10 + 16=26$ cm

Step2: Use the area - formula of a circle

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

Answer:

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