How to Find the Area of a Circle Using Its Circumference (GED Math)

Calculating Circle Area from Circumference

• 🎯 The problem requires finding the area of a circle when only the circumference is given.
• 🔑 The key formulas needed are: Area = πr² and Circumference = 2πr.

Finding the Radius

• ⚡ To find the area, we first need to determine the radius (r) using the circumference formula.
• 💡 Rearranging the circumference formula gives: r = Circumference / (2π).
• 📊 Given a circumference of 31.4 ft and using π ≈ 3.14, the radius is calculated as 31.4 / (2 * 3.14) = 31.4 / 6.28 = 5 ft.

Calculating the Area

• 🚀 Once the radius is known (5 ft), the area can be calculated using the formula: Area = πr².
• 📈 Substituting the values: Area = 3.14 * (5 ft)² = 3.14 * 25 sq ft = 78.5 sq ft.
• ⚠️ Remember that the unit for area is always in square units, such as square feet, square inches, or square yards.