Math  /  Geometry

QuestionThe radius of a circle is 12 inches. What is the circle's circumference? Use π3.14\pi \approx 3.14 and round your answer to the nearest hundredth. \square inches
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Studdy Solution

STEP 1

What is this asking? We need to find how long the outside edge of a circle is if its radius is **12 inches**. Watch out! Don't mix up radius and diameter!
Remember, the diameter is twice the radius.

STEP 2

1. Recall the formula
2. Plug and chug

STEP 3

Alright, let's **kick things off** by remembering the super important formula for a circle's circumference: C=2πrC = 2 \cdot \pi \cdot r.
Here, *C* stands for **circumference**, and *r* stands for **radius**. π\pi is our good ol' friend, **pi**, approximately **3.14**.

STEP 4

Now, let's **plug in** our **radius**, which is \(r = 12\) inches.
So, we have C=2π12C = 2 \cdot \pi \cdot 12.

STEP 5

Since the problem tells us to use π3.14\pi \approx 3.14, let's **substitute** that in: C=23.1412C = 2 \cdot 3.14 \cdot 12.

STEP 6

Time to **multiply**!
First, 23.14=6.282 \cdot 3.14 = 6.28.
So, we have C=6.2812C = 6.28 \cdot 12.

STEP 7

**Multiplying** 6.286.28 by 1212 gives us C=75.36C = 75.36.

STEP 8

The circumference of the circle is **75.36 inches**!

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