Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the tota
2 answers:
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<h2>Hey there! </h2><h2>
</h2><h3>DIVIDE by 
on BOTH SIDES </h3><h3>
</h3><h3>CANCEL out: 
because it gives you 
</h3><h3>KEEP: 
because it helps us solve the number that is being 
to 
</h3><h3>
</h3><h2>Good luck on your assignment and enjoy your day! </h2><h2>~
</h2><h3 />
Step-by-step explanation:
(i) Using the law of cosines, we can find that
≈ 0.62, so O ≈ 0.9
(ii) Since the whole pie has 2π radians (or 360 degrees), we can divide 0.9 by 2π to get around 6.9 slices from the pie
(iii) The area of the shaded segment can be found by finding sector OAB and subtracting triangle OAB from that. Sector OAB can be found by finding the area of the pie (π*8², since 8 is the radius) and dividing that by 6.9, so we get 64π/6.9 ≈ 29. Then, the area of the triangle is √p(p-a)(p-b)(p-c), with p being the perimeter and a, b, and c being the sides. Plugging 7, 8, and 8 in, we get 25.1781 as our area, so the difference is around 3.8