The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
The area of big sector = (60/360) * π(10)² = (50π /3) cm²
Area of small sector = (60/360) * π(x)² = (x²π /6) cm²
Unshaded area = (x²π /6) cm²
Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6
Shaded area = unshaded area
(100π - x²π) /6 = (x²π /6) cm²
x = 7.07
The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.
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