Question

Circles G and X are connected at point H. The length of G H is 6 centimeters and the length of H X is 8 centimeters.

Point G is the center of the small circle. Point X is the center of the large circle. Points G, H, and X are on line segment GX.

What would be the area of a new circle that has line segment GX as its diameter?

16Pi centimeters squared
36Pi centimeters squared
49Pi centimeters squared
98Pi centimeters squared

Answer 1

The answer is C on Edge 2020

Explanation:

I did the Quiz

Answer 2

`A=49\pi\ cm^2`

Explanation:

The picture of the question in the attached figure

we know that

The area of a circle is equal to

`A=\pi r^(2)`

The radius of the new circle is equal to

`r=(GX)/(2)=(8+6)/(2)=7\ cm` ---> the radius is half the diameter

substitute

`A=\pi (7)^(2)\\A=49\pi\ cm^2`