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

its b

Explanation:

Answer 2

The area will be
`676\pi cm^(2)`

Explanation:

I add a graph of the situation.

The first step is to find the length of the radius from the new circle.

The length will be the distance between the point ''G'' and ''X''.

This distance is equal to
`10cm+16cm=26cm`

The new radius will be
`26cm`

The area of a circle is equal to
`\pi .R^(2)` (I)

Where ''R'' is the radius.

Using the equation (I) :

`Area=\pi .(26cm)^(2)`

`Area=676\pi cm^(2)`

The area of the new circle will be
`676\pi cm^(2)`