How to find the angle of a sector using the area and radius

[T345]

Hi guys, another maths question.
I am having trouble finding the method to do this, online and in my head.
The question is:
A sector with radius 6cm has an area 70cm sq. Calculate the angle of the sector Theta.
I am struggling, and if anyone can show me how to do it, I will be grateful.
Thanks
Bakht

 

[T345]

The answer is very easy, I will let you work it out form basic principles:
A) What is the formula to find the area of a circle?
b) what is the radius of the circle given in the questions?
C) What is the fractional area of the sector given in the question?
D) If you cut a circle in half what would the area of the half be and what are the angles of the 2 sectors?
E) Out of 360 degrees the sector must have angle with a fraction proportional to the areas.

Ok, so I got the area of the entire circle (36pi).
The fractional area would be
70/36pi.
I don't know what you mean in D though