SOLUTION: If the number of square units in the area of circle C is twice the number of linear units in the circumference of C, what is the number of square units in the area? (A) 4 (B) 8

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The circumfrence of a circle is 2πr and the area is πr². We are told that the area is twice the circumfrence so

πr² = 2(2πr)

cancel π from both sides and one r from both sides and you get

r = 4

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check the answer by putting r into both equations and you get:

π4² = 16π for the area and

2π4 = 8π for the circumfrence. Clearly, the area is twice the linear measure of the circumfrence.