Question

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ. What is the area of circle C, which passes though points W and Z? 81 164 324 1296

Answer 1

Answer: Point D is the midpoint of the outer circle that we aim to find the area o.The circle has a diameter of WZ and radii of WC and CZ.We know that YZ=YD=10 cm .Let DC be x and CY be 10-x

The radius of the outer circle can be written as 8+8+x or 10+10-x which we can equate to find the value of x

8+8+x=10+10-x

16+x=20-x

2x=4

x=2

Therefore, the radius of the circle is 8+8+2=18

And hence the area of the circle is   \pi (18^{2})=324 \pi

hope u get it

Answer 2

Given :  Circles whose diameter lying on line segment WXCYZ

To find : Area of Circle with Center C

Solution:

WX = Radius of Circle X  = 8

=> Diameter of Circle X = 2 * 8 = 16

YZ = Radius = 10

=> Diamter of Circle Y = 2 * 10 = 20

Length of WZ = 16 + 20 = 36

=> Diameter of circle C  = 36

=> Radius of Circle  C = 36/2 = 18

=> Area of Circle C = π(18)²

= 324π

324π   is the area of circle C

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