20 G is the center of the small circle. Point x is the center of the large Circle. Point g h and X are on the line segment GX what would be the area of a new circle that has line segment GX as its diameter 16π cm² 36π cm² 49π cm² and 98π cm²
![20 G is the center of the small circle Point x is the center of the large Circle Point g h and X are on the line segment GX what would be the area of a new circ class=](https://us-static.z-dn.net/files/d39/4f93d31458e80921c934075986fb87d3.jpg)
Answer:
[tex]A=49\pi\ cm^2[/tex]
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
The radius of the new circle is equal to
[tex]r=\frac{GX}{2}=\frac{8+6}{2}=7\ cm[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (7)^{2}[/tex]
[tex]A=49\pi\ cm^2[/tex]