Question

You look at a button under a magnifying glass. Find the actual length of the button.
The image of the button is 6 times the​ button's actual size and has a diameter of 21 cm.
Question content area bottom
Part 1
The​ button's actual diameter is
  
enter your response here cm.
​(Type an integer or a​ decimal.)

Answer 1

To find the actual diameter of the button, we can use the fact that the image is 6 times the actual size of the button.

Given:
- Diameter of the image = 21 cm
- Magnification = 6 (The image is 6 times larger than the actual size)

We can find the actual diameter of the button (let's call it \( d \)) using the formula:

\[
\text{Diameter of the image} = \text{Magnification} \times \text{Actual diameter}
\]

So, we have:

\[
21 \, \text{cm} = 6 \times d
\]

Now, solve for \( d \):

\[
d = \frac{21 \, \text{cm}}{6} = 3.5 \, \text{cm}
\]

Thus, the actual diameter of the button is **3.5 cm**.