Shaded area is 54 pi cm squared. Find X

To solve for 'X', we need a bit more context or information about the shape or the geometric figure involved, where 'X' is used. The term 'shaded area' usually refers to the part of a diagram that is marked or colored differently than the rest to highlight a particular section. The value of 'X' could be the radius, diameter, or side length of a geometric shape, depending on the context of the problem. Without additional information about what 'X' represents and the characteristics of the shape or figure, it is impossible to provide a definitive solution.

Since the shaded area is given as 54 pi square centimeters, it suggests that the area might relate to a circle or a part of a circle (like a sector), since the area of a circle is expressed in terms of pi. If 'X' is the radius of a full circle, we could use the formula for the area of a circle to find 'X'.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Given A = 54π, we would set up the equation 54π = πr^2. We can solve for r as follows:

1. Cancel out π from both sides of the equation: 54 = r^2 2. Take the square root of both sides to find r: r = √54 3. Simplify the square root (if necessary): r = √(9 * 6) = √9 * √6 = 3√6

Thus, if 'X' represents the radius of the circle and the entire circle is shaded, then X = 3√6 cm.

However, if 'X' represents something else or the shaded area is a part of a circle (like a sector or segment), different information would be required to solve for 'X'. Please provide more details about the shape and what 'X' signifies in that context.