A factory club has a circular dance floor with a circumference of 37.68 meters. Now it is going to widen the circumference by 1 meter. How many square meters will the area of the dance floor increase?
某厂俱乐部有一个圆形舞池，周长37.68米，现准备周围加宽1米，这样舞池面积增加多少平方米？
<gadget id="calculator">37.68 / 3.14 / 2</gadget>
<output>6</output>

<gadget id="calculator">6 + 1</gadget>
<output>7</output>

<gadget id="calculator">7 ** 2</gadget>
<output>49</output>

<gadget id="calculator">6 ** 2</gadget>
<output>36</output>

<gadget id="calculator">49 - 36</gadget>
<output>13</output>

<gadget id="calculator">3.14 * 13</gadget>
<output>40.82</output>

<result>40.82</result>