Consider the circle.

(4 points)
7th Grade Math Formula Sheet

Use 3.14 for π
and do not round each answer.

Diameter =
centimeters

Circumference =
centimeters

Radius =
centimeters

Area =
square centimeters

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1 answer

To fill out the information for the circle using the provided value for π (3.14), we need either the diameter or the radius to calculate the other values.

Let's define the parameters:

  1. Diameter (d) of the circle.
  2. Radius (r) of the circle, which is half of the diameter:
    \( r = \frac{d}{2} \)
  3. Circumference (C) of the circle, calculated using the formula:
    \( C = \pi \times d \)
  4. Area (A) of the circle, calculated using the formula:
    \( A = \pi \times r^2 \)

If we assume a diameter value, here’s how to compute these values:

For example, if the diameter is given as d centimeters, we can compute the rest:

  1. Diameter = d centimeters.
  2. Radius = \( \frac{d}{2} \) centimeters.
  3. Circumference = \( 3.14 \times d \) centimeters.
  4. Area = \( 3.14 \times \left(\frac{d}{2}\right)^2 \) square centimeters = \( 3.14 \times \frac{d^2}{4} \).

Example with Diameter = 10 centimeters:

  1. Diameter = 10 centimeters
  2. Radius = \( \frac{10}{2} = 5 \) centimeters
  3. Circumference = \( 3.14 \times 10 = 31.4 \) centimeters
  4. Area = \( 3.14 \times 5^2 = 3.14 \times 25 = 78.5 \) square centimeters

Final values for the circle with Diameter = 10 cm:

  • Diameter = 10 centimeters
  • Circumference = 31.4 centimeters
  • Radius = 5 centimeters
  • Area = 78.5 square centimeters

If you provide the diameter or radius, we can replace the numbers with the specific calculations.