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Question
Consider the circle.
(A light teal-green circle is centered on the image. A radius line, a reddish-pink color, extends from the circle's center to its edge, labeled "7 m". The circle's circumference is visible, and a small, dark teal-green dot marks the circle's center. The background is a very light blue.)

(4 points)
7th Grade Math Formula Sheet

Use 3.14 for π
and do not round each answer.

Diameter =
meters

Circumference =
meters

Radius =
meters

Area =
square meters

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1 answer

To find the measurements of the circle given the radius of 7 meters, we can use the following formulas:

  1. Diameter: The diameter (D) is twice the radius (r).
    \[ D = 2 \times r = 2 \times 7 , \text{m} = 14 , \text{meters} \]

  2. Circumference: The circumference (C) can be calculated using the formula:
    \[ C = \pi \times D = 3.14 \times 14 , \text{m} = 43.96 , \text{meters} \]

  3. Radius: The radius (r) is already given as:
    \[ r = 7 , \text{meters} \]

  4. Area: The area (A) is calculated using the formula:
    \[ A = \pi \times r^2 = 3.14 \times (7 , \text{m})^2 = 3.14 \times 49 , \text{m}^2 = 153.86 , \text{square meters} \]

Now, we can summarize the results:

  • Diameter: 14 meters
  • Circumference: 43.96 meters
  • Radius: 7 meters
  • Area: 153.86 square meters