Answer:
x = 10
Step-by-step explanation:
x is the radius of the inner white circle
The area of the whole circle is
A = πr² = π × 18² = 324π cm²
The area of the shaded region = 224π cm²
Then the area of the white circle = 324π - 224π = 100π
Area of white circle = πx² = 100π ( divide both sides by π )
x² = 100 ( take the square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
