The length of the radius of the circle is 4.9cm.
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Calculation for the length of the radius of the circle-
In order to overcome this issue, we must first translate the angle from radians to degrees.
The central angle of circle is 7/6π rads = 210 degrees.
Length of the arc is 18 cm.
The formula of length of an arc is given as-
[tex]l_{a r c}=\frac{\theta}{360} * 2 \pi r[/tex]
Let's change the values and find the solution.
[tex]\begin{aligned}&18=\frac{210}{360} * 2 \pi r \\&18=3.663 r \\&r=\frac{18}{3.663} \\&r=4.9 \mathrm{~cm}\end{aligned}[/tex]
Therefore, the length of the radius of the circle is 4.9 cm.
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