Answer:
The outer desks are 17.2 m from the center of the circle.
Step-by-step explanation:
Given:
Length of arc desks of outermost circle (L) = 12 m
The arc is 1/9 of the complete circle.
Now, we are asked to find the distance of the desks from the center. In other words, we are asked to find the radius of the outermost circle.
Let the radius be 'r' m.
The circumference of the circle is given as:
[tex]C=2\pi r[/tex]
As per question,
[tex]\frac{1}{9}C=12\\\\C=12\times 9 = 108\ m[/tex]
Now, finding the radius using the circumference equation. This gives,
[tex]2\pi r=108\\\\r=\frac{108}{2\pi}\\\\r=\frac{54}{3.14}\\\\r=17.2\ m[/tex]
Therefore, the outer desks are 17.2 m from the center of the circle.
