Question

Circle X and Y are connected at one side. Larger circle C surrounds both circles. Line segment W Z is the diameter of circle C. The line segment goes through all points of the other circles. The length of W X is 8 and the length of Y Z is 10. 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? 81Pi units squared 164Pi units squared 324Pi units squared 1296Pi units squared

Answer 1

Answer:

the correct answer is: C

Step-by-step explanation:

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Answer 2

The area of circle C is calculated as: 324π units².

What is the Area of a Circle?

Area of circle = πr².

Thus:

let OC be represented as x

OC = x

Radius of circle C is 8 + 8 + x or 10 + 10 - x

Thus:

16 + x = 20 - x

Combine like terms together

x + x = 20 - 16

2x = 4

x = 2

Radius of circle C = 8 + 8 + x = 16 + 2 = 18

Thus:

Area of circle C = πr² = π × 18²

Area of circle C = 324π units²

Therefore, the area of circle C is calculated as: 324π units².

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