Question:** A circle is inscribed in a square. If the side of the square is 12 cm, what is the area of the circle? Use π ≈ 3.14.

["How to Find the Area of a Circle Inscribed in a Square – Step-by-Step Guide (With Side Length 12 cm)", "When a circle is inscribed in a square, the circle touches all four sides of the square at their midpoints. This geometric relationship means the diameter of the circle is exactly equal to the side length of the square. In this article, we’ll explore how to calculate the area of such a circle when the square’s side measures 12 cm — using the value of π = 3.14.", "### Step 1: Understand the Relationship Between the Square and the Circle", "- Side length of the square = 12 cm\n- Therefore, diameter of the inscribed circle = 12 cm\n- Radius of the circle = Diameter ÷ 2 = 12 cm ÷ 2 = 6 cm", "### Step 2: Use the Circle Area Formula", "The formula to calculate the area ( A ) of a circle is:", "[\nA = \pi r^2\n]", "Where:\n- ( \pi = 3.14 ) (a common approximation)\n- ( r = \ ext{radius} = 6 ) cm", "### Step 3: Plug in the Values", "[\nA = 3.14 \ imes (6)^2 = 3.14 \ imes 36 = 113.04 \ ext{ cm}^2\n]", "### Final Answer", "The area of the circle inscribed in a square with a side length of 12 cm is 113.04 cm².", "### Why This Matters", "Understanding inscribed shapes helps in geometry, architecture, and design. Whether you’re calculating material needs for a circular object within a square frame or solving math problems, knowing this relationship simplifies calculations and strengthens foundational knowledge.", "### Summary", "- Square side = 12 cm\n- Inscribed circle diameter = 12 cm\n- Radius = 6 cm\n- Area = ( \pi r^2 = 3.14 \ imes 36 = 113.04 \ ext{ cm}^2 )", "By following these simple steps, solving such geometry problems becomes intuitive and precise — perfect for students, teachers, and math enthusiasts.", "---", "Keywords: circle inscribed in square, area of circle formula, square and circle geometry, how to calculate circle area from square side, 12 cm side circle area, use π = 3.14, geometry problem solution, inscribed circle area."]