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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

Respuesta :

Answer:

c 49Pi centimeters squared

Step-by-step explanation:

The area of the circle will be C. 49Pi centimeters squared.

How to solve the circle?

From the information given, the length of GH is 6 centimeters and the length of HX is 8 centimeters.

Therefore, the diameter of the line segment GX will be:

= 8cm + 6cm

= 14cm

Hence, the area of a new circle that has line segment GX as its diameter will be:

= πr²

where, r = Diameter/2 = 14/2 = 7

Area = πr²

Area = π × 7²

Area = 49Ď€

In conclusion, the area is 49Ď€.

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