URGENT I HAVE A HOUR ON QUIZ
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

The area of a new circle that has line segment GX as its diameter is 49 pi cm squared. Thus option C is the correct option.

Given-

The radius of the small circle g is 6 cm.

The radius of the big circle x is 8 cm.

To get the length of the line segment GX we need to add the line segment HX and GH.

Hence the measure of the length GX is 14 cm.

Now the area of the circle with diameter d can be given as,

In the given problem the area of line segment GX is asked. Thus put the value of GX in the above formula of circle. Therefore,

Hence, the area of a new circle that has line segment GX as its diameter is 49 pi cm squared. Thus option C is the correct option.

For  more about the circle, follow the link below-

link

Given:

GH = 6 cm

XH = 8 cm

To find:

Area of new circle that has diameter GX

Solution:

GX = GH + XH

     = 6 cm + 8 cm

GX = 14 cm

Diameter = 14 cm

Radius = 14 ÷ 2 = 7 cm

Area of the circle = πr²

                             = π × 7²

                             = π × 49

                             = 49π cm²

Area of the new circle formed is 49π cm².

87%

step-by-step explanation:

apex answer

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step-by-step explanation:

ez do it yourself lazy