How long is the arc of a circle subtended by a central angle of 1 radian if the radius of the circle is 17 units?

Question

Jenny Marshall

Mathematics

3 September, 23:54

How long is the arc of a circle subtended by a central angle of 1 radian if the radius of the circle is 17 units?

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Answers (1)

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Francesca Hebert · Answer 1

Use the formula S = xr.

Note: I am using x in place of theta since there is no theta symbol on my keyboard.

We want to find S, the arc of the given circle.

S = (1 rad) (17 units/rad)

Notice that both rad cancel out.

Note: rad is radians for short.

S = 17 units