Question

The circumference of a circle measures 22π units. Find the number of square units in the area of the circle. Express your answer in terms of π.

Answer 1

Answer:

A = 11²/{4π}

Step-by-step explanation:

The circumference equation is C = 2πr.  Thus, r = C / (2π), and:

         C²                                                   (22π)²          2²11²π²             11²  

r² = ----------     so, if C = 22π units, r² = -------------- = ---------------- = -------------

       (2π)²                                                    (2π)^4        (2π)²(2π)²       (2π)²

             11²π²

or  r² = ---------------

         

The area equation for a circle is A = πr² which here is π·11²/(2π)²

This reduces to 11²/{4π}