Question

the plane angle substended at the centre of a circle by an arc equal in length to the radius of the circle is equal to
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Answer 1

Answer:

The plane angle substended at the centre is 57.29°

Explanation:

Here, x is the unknown angle subtends by the arc of length equal to radius.

It is 1 radian, or 57.29 degrees.

$theta \: = \frac{S}{r}$

$\frac{360}{x} = \frac{2\pi \: r}{r}$

x = 360° ÷ 2π

x = 360° ÷ 6.28

x = 57.29°