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

Answer:

$A=49\pi\ cm^2$

Step-by-step 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

$r=\frac{GX}{2}=\frac{8+6}{2}=7\ cm$ ---> the radius is half the diameter

substitute

$A=\pi (7)^{2}\\A=49\pi\ cm^2$

Answer 2

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

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