Here is a non-calculator worksheet on the circumference and area of circles. Answers, where appropriate, will be left in terms of pi.
Section A is about finding the circumference given either the radius or diameter.
Section B is about finding the area given either the radius or diameter.
Section C then gives some sectors (quarter circles or semicircles) and compound shapes and asks for both the perimeter and area - Pythagoras' Theorem is required for question 3.
Section D then gives either the area or circumference of a circle in terms of pi and asks for the other measurement.