Circle g and x connect at point y. the length of g y is 10 centimeters and the length of y x is 16 centimeters.
point g is the center of the small circle. point x is the center of the large circle. points g, y, and x are all on line segment gx.

marco wants to create a new circle using gx as a radius. what will be the area of marco’s new circle?

10pi centimeters squared
16pi centimeters squared
356pi centimeters squared
676pi centimeters squared

676π Sq. cm.

Step-by-step explanation:

The line GY is the radius of the circle with G as center and Y is a point on the circle.

Now, GY = 10 cm.

Again, the line XY is the radius of the circle with X as center and Y is a point on the circle.

Now, XY = 16 cm

The two circles touched at point Y,

Therefore, point Y will be on line GX.

Now, GX = GY + YX = 10 + 16 = 26 cm.

Therefore, Marco wants to create a new circle using GX as the radius, then the area of the new circle will be π (26)² Sq. cm. = 676π Sq. cm. (Answer)

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: