Question

Line segment WX is the radius of circle X, and linesegment ZY is the radius of circle Y. Points W, X, C, Y,and Z are all on line segment WZ.w8vХWhat is the area of circle C, which passes though pointsW and Z?.811 units10O 1641 units?z3241 units?1296 units?Mark this and retumSave and ExitNextSubmit

Answer 1

Okay, here in this case we need to find the area of circle with center C, let's do it.

So, we have this:

Diameter of circle C = 2(Radius of Circle X)+2(Radius of Circle Y)

Replacing we get:

Diameter of circle C = 2(8)+2(10)=16+20=36

Radius of Circle C = 36/2 = 18

And the area is pi(r)², replacing:

Area of Circle C = π (18)² = 324π units².

The correct option is the third option.