The formula for finding the length of an arc on

Ответ:

emilyplays474

12.03.2022

The formula for length of an arc on a circle is given by the formula:

$L = \frac{2 \pi rx}{360}$ ,

where 'r' is the radius of the circle and 'x' is the measure of the central angle of the arc.

We have to determine the value of radius 'r'.

Since, $L = \frac{2 \pi rx}{360}$

By Cross multiplication, we get

$360 \times L = 2 \pi rx$

$\frac{360 \times L}{ 2 \pi x} =r$

$\frac{180 \times L}{ \pi x} =r$

$r = \frac{180L}{ \pi x}$

Therefore, the radius 'r' is given by $r = \frac{180L}{ \pi x}$ .

Option 4 is the correct answer.

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