<p>A circle has an area of 49pi and is divided into 6 congruent regions. What is the perimeter of one of these regions?</p>
<p>A: 14 - 49pi
B: 14 + 7/6 pi
C: 14 + 7/3 pi
D: 14 + 7 pi
E: 14 + 49 pi</p>
<p>Explain how you arrived at the answer.</p>
<p>I believe the answer is (D)</p>
<p>The radius is 7. The circumfrence is 14pi. A sixth of the circumfrence is 7pi/3. Add 2 radii to get 14+(7/3)pi</p>
<p>C</p>
<p>I believe the answer is (C).</p>
<p>The area of the circle is 49pi, thus
r^2=49
r=7</p>
<p>Now, this sector is made up of 2 radii and an arc (aka a pizza slice)
2r=14</p>
<p>Now you have to find the length of the arc of 1/6 of this circle
because r=7, d=14
14pi=total circ
14pi/6 = 7/3 pi is the length of the arc</p>
<p>Therefore, perimeter is 14 + 7/3pi</p>
<p>That makes sense. Thanks, guys!</p>