If rope length eighteen cm is use to form a sector of a cycle of radius c.2 cm on a school sport ground calculate the size of the angle of the sector?

The total rope length represents the perimeter of the sector.
The perimeter $P$ of a sector is given by the formula $P = 2r + L$, where $r$ is the radius and $L$ is the arc length.
Given:
Perimeter $P = 18$ cm
Radius $r = 2$ cm (interpreting "c.2 cm" as 2 cm)

Substitute the given values into the perimeter formula:

Subtract 4 from both sides to find $L$:

The formula for arc length is $L = r\theta$, where $\theta$ is the angle in radians.
Substitute the values for $L$ and $r$:

Divide by 2 to find $\theta$:

The size of the angle of the sector is $\text{7 radians}$.