Focal Length of Convex Mirror given Radius Calculator

Calculate Focal Length of Convex Mirror given Radius



Formula

The formula to calculate the Focal Length of Convex Mirror given Radius is:

\[ f_{\text{convex}} = -\frac{r_{\text{convex}}}{2} \]

Where:

Definition

The Focal Length of Convex Mirror is the distance between the mirror's vertex and the focal point, where parallel rays of light converge after being reflected by the mirror.

Example Calculation

Let's assume the following value:

Using the formula:

\[ f_{\text{convex}} = -\frac{5.597602}{2} \]

Evaluating:

\[ f_{\text{convex}} = -2.798801 \text{ m} \]

The Focal Length of Convex Mirror is -2.798801 m.

Conversion Chart

Radius of Convex Mirror (m) Focal Length of Convex Mirror (m)
1 -0.500000000000
2 -1.000000000000
3 -1.500000000000
4 -2.000000000000
5 -2.500000000000
6 -3.000000000000
7 -3.500000000000
8 -4.000000000000
9 -4.500000000000
10 -5.000000000000