1978 AHSME Problems/Problem 2
Problem 2
If four times the reciprocal of the circumference of a circle equals the diameter of the circle, then the area of the circle is
Solution 1
Creating equations, we get . Simplifying, we get
. Multiplying each side by
, we get
. Because the formula of the area of a circle is
, we multiply each side by
to get
.
Therefore, our answer is