Calculate Circle Circumference with Radius 29: Step-by-Step Solution

Circle Circumference with Given Radius

r=29 r=29

Calculate the circumference.

292929

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the circle's circumference
00:03 We'll use the formula for calculating circle circumference
00:06 We'll substitute the given radius and solve for the circumference
00:12 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

r=29 r=29

Calculate the circumference.

292929

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Identify the given information - the radius r=29 r = 29 .
  • Step 2: Apply the formula for the circumference of a circle, which is C=2πr C = 2\pi r .
  • Step 3: Perform the calculations using π3.14159\pi \approx 3.14159.

Now, let's work through each step:

Step 1: We are given the radius r=29 r = 29 .

Step 2: The formula for the circumference is C=2πr C = 2\pi r . Substituting the value of r r , we get:

C=2×π×29 C = 2 \times \pi \times 29 .

Step 3: Calculate the expression:

C=2×3.14159×29 C = 2 \times 3.14159 \times 29 .

C182.212 C \approx 182.212 .

Therefore, the circumference of the circle is approximately 182.212 182.212 .

Hence, the solution to the problem is 182.212.

3

Final Answer

182.212

Key Points to Remember

Essential concepts to master this topic
  • Formula: Circumference equals 2π times radius (C = 2πr)
  • Technique: Substitute r = 29 into C = 2 × 3.14159 × 29
  • Check: Verify units match and result is reasonable for given radius ✓

Common Mistakes

Avoid these frequent errors
  • Using diameter instead of radius in the formula
    Don't use C = πd when given radius = wrong formula entirely! This gives C = 3.14159 × 29 ≈ 91.106 instead of 182.212. Always use C = 2πr when radius is given.

Practice Quiz

Test your knowledge with interactive questions

\( r=11 \)

Calculate the circumference.

111111

FAQ

Everything you need to know about this question

Why do we multiply by 2 in the circumference formula?

+

The circumference formula C = 2πr comes from the relationship between radius and diameter. Since diameter = 2 × radius, and C = πd, we get C = π(2r) = 2πr.

What value of π should I use for calculations?

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Use π ≈ 3.14159 for most problems unless told otherwise. Some problems may ask you to leave π as a symbol or use 3.14 for simpler calculations.

How do I know if my circumference answer is reasonable?

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The circumference should be about 6 times the radius (since 2π ≈ 6.28). For radius 29, expect around 6 × 29 = 174, so 182.212 makes sense!

Can I leave my answer in terms of π?

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Yes! The exact answer is C=58π C = 58π . Use decimals only when the problem asks for a numerical approximation.

What if I forget the circumference formula?

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Remember: circumference is the distance around the circle. Think of it as the perimeter of a circle. The formula C = 2πr connects this distance to the radius.

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