Math  /  Geometry

QuestionThe round temperature dial on a thermostat has a radius of 1 inch. What is the dial's diameter? \square inches Submit

Studdy Solution

STEP 1

What is this asking? If a circle has a **radius** of 1 inch, how long is its **diameter**? Watch out! Don't mix up radius and diameter!
Remember, the diameter is *double* the radius.

STEP 2

1. Define diameter.
2. Calculate the diameter.

STEP 3

Alright, let's break this down!
The **diameter** of a circle is the distance across the circle through its center.
It's like cutting a pizza straight down the middle – the cut line is the diameter!

STEP 4

The **radius** is the distance from the center of the circle to any point on the edge.
It's half the diameter, like measuring from the center of the pizza to the crust.

STEP 5

We know the **radius** is 11 inch.
And we know the **diameter** is *twice* the **radius**.
So, our super-secret formula is: Diameter=2Radius \text{Diameter} = 2 \cdot \text{Radius}

STEP 6

Let's plug in our **radius** value: Diameter=21 \text{Diameter} = 2 \cdot 1

STEP 7

Multiplying 22 by 11 gives us: Diameter=2 \text{Diameter} = 2

STEP 8

So, the **diameter** of the thermostat dial is 2\bf{2} inches!

STEP 9

The dial's diameter is 2\bf{2} inches.

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