Math Problem Statement

Please solve

Find the circumference of the circle to the nearest hundredth if needed. Use π = 3.14 unless stated otherwise. The diameter of the circle is given as 9.42 m.

Solution

To find the circumference CC of the circle, we use the formula:

C=πdC = \pi \cdot d

Where:

  • π=3.14\pi = 3.14
  • dd is the diameter of the circle.

Step 1: Identify the diameter

From the image, the diameter dd is given as 9.42m9.42 \, \text{m}.

Step 2: Calculate the circumference

Substitute d=9.42md = 9.42 \, \text{m} and π=3.14\pi = 3.14 into the formula:

C=3.149.42C = 3.14 \cdot 9.42

Perform the multiplication:

C=29.59mC = 29.59 \, \text{m}

Step 3: Compare with options

None of the options match 29.59m29.59 \, \text{m}. This suggests the options provided might not account for the accurate value. The correct circumference is:

C=29.59m(to the nearest hundredth).C = 29.59 \, \text{m} \, \text{(to the nearest hundredth).}


Do you want a further breakdown or explanation? Let me know!

Here are 5 related questions for further exploration:

  1. How do you calculate the radius if the diameter is known?
  2. What is the relationship between circumference and radius?
  3. How can you approximate π\pi more accurately in calculations?
  4. How would the circumference change if the diameter were doubled?
  5. What formula would you use to find the area of the same circle?

Tip: Always check if the given options align with your calculations—sometimes options may have inconsistencies!

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Math Problem Analysis

Mathematical Concepts

Circumference of a Circle
Basic Geometry

Formulas

C = π × d

Theorems

Circumference Formula

Suitable Grade Level

Grades 6-8