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:
Where:
- is the circumference
- is approximately 3.14
- 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:
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:
- How do you calculate the area of the circle given the diameter?
- What would the circumference be if the diameter were doubled?
- How does the value of π affect the circumference calculation?
- What is the relationship between radius and circumference?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Formulas
C = π × d
Theorems
-
Suitable Grade Level
Grades 6-8