Answer:
The area will be [tex]676\pi cm^{2}[/tex]
Step-by-step explanation:
I add a graph of the situation.
The first step is to find the length of the radius from the new circle.
The length will be the distance between the point ''G'' and ''X''.
This distance is equal to [tex]10cm+16cm=26cm[/tex]
The new radius will be [tex]26cm[/tex]
The area of a circle is equal to [tex]\pi .R^{2}[/tex] (I)
Where ''R'' is the radius.
Using the equation (I) :
[tex]Area=\pi .(26cm)^{2}[/tex]
[tex]Area=676\pi cm^{2}[/tex]
The area of the new circle will be [tex]676\pi cm^{2}[/tex]
