MATH SOLVE

5 months ago

Q:
# 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 squared16Pi centimeters squared356Pi centimeters squared676Pi centimeters squared

Accepted Solution

A:

Answer: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)