The measure of an angle is 160°. What is the measure of its supplementary angle?
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Answer:
Step-by-step explanation:
The area of a pie-slice shape can be found with the equation where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: