Question

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

Answer 1

D

Explanation:

Answer 2

676π Sq. cm.

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)