Question

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
10 cm
16 cm
Marco wants to create a new circle using GX as a radius.
What will be the area of Marco's new circle?
O
10
cm?
16
cm
3561 cm
676T1 cm

Answer 1

676π cm²

Explanation:

Since points G, Y, and X are all on line segment GX. The length of GY = 10 cm and the length of YX = 6 cm. Therefore the line segment GX = 10 cm + 6 cm = 16 cm.

The area of a circle is given by the formula:

A = πr² where r is the radius of the circle.

Therefore, if GX is the radius of the circle, the new are is given as:

A = πr² = π × 16² = 676π cm²

Answer 2

676π cm²

Explanation:

In the figure attached, the complete question is shown.

From the figure we can see that GX is 10 + 16 = 26 cm length

Area of a circle = π*r²

where r is the radius. Replacing with data:

Area of a circle = π*(26 cm)² = π*26² cm² = 676π cm²