Question

Circles G and X are connected at point H. The length of G H is 6 centimeters and the length of H X is 8 centimeters.
Point G is the center of the small circle. Point X is the center of the large circle. Points G, H, and X are on line segment GX.

What would be the area of a new circle that has line segment GX as its diameter?

16Pi centimeters squared
36Pi centimeters squared
49Pi centimeters squared
98Pi centimeters squared

Answer 1

GH and HX are the radii of the two tangent circles, so GX = GH + HX = 6 + 8 = 14 cm is the diameter of the new circle. Its radius is 7 cm, so the area is π(7^2) = 49π cm².

Answer: 49Pi centimeters squared.