Math Problem Statement

The firmly packed soil surrounding a potted plant has a diameter of 11 inches.

If the potted plant and soil are to be planted in the ground in a hole just big enough to fit the plant and soil, which measurement provides the closest approximation for the circumference of the hole that must be dug?

Use 3.14 for π . A.11.2 inches B.17.3 inches C.34.5 inches D.69.1 inches

Solution

The circumference of a circle can be calculated using the formula:

C=π×dC = \pi \times d

Where:

  • CC is the circumference
  • π\pi is approximately 3.14
  • dd is the diameter of the circle

Given that the diameter of the potted plant and soil is 11 inches, we can calculate the circumference as follows:

C=3.14×11=34.54 inchesC = 3.14 \times 11 = 34.54 \text{ inches}

The closest approximation to 34.54 inches is 34.5 inches, which corresponds to option C.

Thus, the answer is C. 34.5 inches.

Would you like more details or have any further questions?

Here are 5 related questions to explore this topic further:

  1. How do you calculate the area of the circle given the diameter?
  2. What would the circumference be if the diameter were doubled?
  3. How does the value of π affect the circumference calculation?
  4. What is the relationship between radius and circumference?
  5. How would the answer change if we used 3.1416 for π instead of 3.14?

Tip: Always ensure to match units properly when solving geometry problems involving circles.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

C = π × d

Theorems

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Suitable Grade Level

Grades 6-8