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sergij07 [2.7K]
3 years ago
7

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.
Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0

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}

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