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?

Answers

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

Learn more:

If radius of a circle is 21 cm then find its area. -

Find the area of circle x² + y² = 25. -


Line segment wx is the radius of circle x, and line segment zy is the radius of circle y. points w,

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

Point D is the midpoint of the outer circle that we aim to find the area of

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
Line segment wx is the radius of circle x, and line segment zy is the radius of circle y. points w,

Option C : 324PI units square

Step-by-step explanation:

Just took the test on edge

I think the answer is C. 324 but i'm not sure. lemme know if i'm wrong and what the correct answer is

Step-by-step explanation:

324Pi

Step-by-step explanation:

324Pi units squared

Step-by-step explanation:

8+8+x=10+10-x
16+x=20-x
2x=4
x=2

The radius of a circle is 8+8+2=18

π(18^2)

324 π
324π if u cant see the answer I guess someone has to help. its C 324π


Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, mariah9695
Yes, both pairs of opposite sides are parallelStep-by-step explanation:The complete question is shown in the picture attached.The 4 sides of the parallelogram are formed by segment...Read More
1 more answers
answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is c...Read More
1 more answers