Shapes and areas.

How do I find the area of a shape?

• MATCH: Look at the shape and pick the right formula from my sheet.

• CLEAN: Make sure all your numbers are in the same units (e.g., all meters). If the problem gives you a diameter, cut it in half to get the radius first.

• SOLVE: Plug your "cleaned" numbers into the formula and calculate.

What is the Area formula for a Circle

• Area = (Radius x Radius) x 3.14

  • 3.14 is the "Circle Multiplier."

  • r is the radius (distance from the center to the edge).

  • r * r means multiply the radius by itself.

  Important: If the problem gives you the DIAMETER (the distance all the way across), divide it by 2 first to get the radius.

What is the Area logic for any boxy shape (Square, Rectangle, etc.)?

Area = Length x Width

• Logic: It's just a grid. How many squares fit across? How many rows are there? Multiply those two numbers.

• If it's a square: The length and width are the same number. Just multiply the side by itself!

Finding Radius from Area

(Area ÷ π) = [Result] → then hit √ = Answer

How do I scale an area (e.g., from an Ocean to a Square)?

The "Container x Ratio" Method

New Size = Container x Ratio

The Step-by-Step for your Calculator:

(New Population ÷ Reference Population) × π × Radius × Radius