A circle has a radius of 7 cm. Calculate the area of the circle. Use π ≈ 3.14.
["How to Calculate the Area of a Circle: The Case of a Circle with a Radius of 7 cm", "Understanding basic geometry is essential in many fields—from architecture and engineering to everyday problem solving. One of the most fundamental shapes in geometry is the circle. When learning about circles, a common question arises: How do you calculate the area of a circle? If you’ve got a circle with a radius of 7 cm and want to calculate its area using π ≈ 3.14, this article walks you through the steps.", "### What Is the Radius and Why Does It Matter?", "The radius of a circle is the distance from the center of the circle to any point on its outer edge. In this example, the radius is 7 centimeters. The area measures how much space the circle covers, making it a crucial metric in real-world applications such as designing circular objects, landscaping, or manufacturing circular components.", "### The Formula for the Area of a Circle", "The formula to calculate the area of a circle is:", "[\n\ ext{Area} = \pi \ imes r^2\n]", "- ( \pi ) (pi) is a mathematical constant approximately equal to 3.14.\n- ( r ) is the radius of the circle.", "Since the radius is 7 cm, substitute ( r = 7 ) into the formula:", "[\n\ ext{Area} = \pi \ imes (7)^2\n]", "### Step-by-Step Calculation", "1. Square the radius:\n( 7^2 = 49 )", "2. Multiply by π (using 3.14):\n( \ ext{Area} = 3.14 \ imes 49 )", "Now compute the multiplication:", "[\n\ ext{Area} = 153.86 \ \ ext{cm}^2\n]", "### Final Result", "The area of a circle with a radius of 7 cm is approximately:", "[\n\boxed{153.86 \ \ ext{cm}^2}\n]", "---", "Understanding this simple but powerful formula helps in solving practical problems quickly and accurately—whether you’re designing a circular garden, calculating material needs for a round table, or just enhancing your math skills. Remember, area = π × radius² — and with ( \pi \approx 3.14 ), even basic shapes become easy to work with!", "If you're studying geometry or need quick reference for circle calculations, keep this rule in mind: Area = π × r². It’s efficient, accurate, and foundational."]
