The radius of the circle is 3cm.
How to get the radius?
For a section defined by an angle θ in a circle of radius R, the area is given by:
A = (θ/2)*R^2
In this case, we know that:
θ = (2/3)*pi
And the area is:
A = 3pi cm^2
Replacing these two in the equation we get:
3pi cm^2 = ((2/3)*pi/2)*R^2
3pi cm^2 = ((1/3)*pi)*R^2
If we divide both sides by pi, we get:
3 cm^2 = (1/3)*R^2
3*3cm^2 = R^2
√(9cm^2) = R = 3cm
The radius of the circle is 3cm.
If you want to learn more about circles, you can read:
https://brainly.com/question/25306774
