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I'm working on an Android component which is a circular component. It represents a specific range of weight. My math knowledge is very limited. I would like to convert angle in this specifica range. For example, angles comes from 0 to 360. And my scale is from 45 to 100. How can I convert angle values considering my scale?

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    Including 45 and 100? – 2017-01-06
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    For linear scaling use $45+\frac{\theta}{360}(100-45)$ – 2017-01-06
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    @KanwaljitSingh Yes – 2017-01-06
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    @user1131274 THANK YOU – 2017-01-06

2 Answers 2

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If your value is 0. So on scale must be 45.

For angle 360 on scale 100.

We have already 45 + 55 * $\frac{\text{angle}}{360}$

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    Exactly what I looking for. – 2017-01-06
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You want to find constants, $a$ and $b$, so that the function $f(x) = ax + b$ has the properties $f(0) = 45$ and $f(360) = 100$:

\begin{align} f(0) &= 45 \\ a \cdot 0 + b &= 45 \\ b &= 45 \\ \hline f(360) &= 100 \\ a \cdot 360 + b &= 100 \\ 360a + b &= 100\\ \hline 360a + 45 &= 100 \\ 360a &= 55 \\ a &= \dfrac{55}{360} \\ a &= \dfrac{11}{72} \\ \hline f(x) &= \dfrac{11}{72}x + 45 \end{align}