Calculate the circumference.
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Calculate the circumference.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem provides the radius of the circle as .
Step 2: We'll use the formula for the circumference of a circle: .
Step 3: Plugging in the value of the radius, , into the formula, we get:
.
Using approximately , we calculate:
.
Therefore, the circumference of the circle is approximately 69.115.
Upon comparing this with the given choices, the correct choice is:
Choice 4:
69.115
69.115
\( r=2 \)
Calculate the circumference.
The radius goes from the center to the edge of the circle, while the diameter goes all the way across through the center. Diameter = 2 × radius, so if r = 11, then d = 22.
For most problems, use π ≈ 3.14159 to get accurate decimal answers. Some problems might ask you to leave the answer in exact form as 22π instead.
Think of it this way: the radius goes from center to edge, so 2r gives you the diameter. The circumference formula C = πd becomes C = π(2r) = 2πr!
Remember: C = 2πr sounds like "2 pies are" when you say it out loud! Or think "Circumference = 2 × π × radius" - you need 2 radii to make a diameter.
Use 3.14159 for π in your calculations. So C = 22π becomes C = 22 × 3.14159 = 69.115. Most scientific calculators have a π button though!
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