How to Calculate Shaded Area: Circle Inscribed in a Square (GED Math)

Calculating Shaded Area

• 🎯 The area of the shaded region is found by subtracting the area of the inscribed circle from the area of the square.
• 💡 The formula for the area of a square is side * side (s^2), and the area of a circle is pi * radius^2 (πr^2).

Determining Dimensions

• 📏 Given a radius of 7 for the inscribed circle, the diameter is 14.
• 🔑 The diameter of the inscribed circle is equal to the side length of the square, meaning the square's side (s) is 14.

Area Calculation

• 📐 Substitute the values into the area formulas: Area of Square = 14^2, Area of Circle = π * 7^2.
• 🧮 Calculate the squares: 14^2 = 196 and 7^2 = 49.
• ✍️ The exact area of the shaded region is 196 - 49π.