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 Question from hassan, a parent: how to draw a curve long 1m with an angle of 22.5?

Hi,

My interpretation of your question is that you have a section of an arc of a circle which is 1 metre long and subtended by an angle of measure $22.5^{o}.$ To draw the arc you need $r,$ the radius of the circle.

The formula you need is that $a = r \times \theta$ where $a$ is the length of the arc, $r$ is the radius of the circle and $\theta$ is the measure of the angle in radians. You have the measure of the angle in degrees so you need to multiply by $\large \frac{\pi}{180}$ to convert the measure of the angle. Thus

$a = r \times \frac{22.5 \times \pi}{180}$

or

$1 = r \times \frac{22.5 \times \pi}{180}$

which gives

$r = \frac{180}{22.5 \times \pi} = 2.546 \mbox{ metres.}$

Penny

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