Posted December 16, 2013 The blue crescent is made up of a semicircle and a quarter circle (of a larger circle). If the width of the figure (diameter of the semicircle) is 1, what is the area of the crescent? -1 Share this post Link to post Share on other sites

0 Posted December 16, 2013 (edited) The radius of the yellow+green circle is sqrt(2)/2. (r^2 = 2/4 = 1/2) So the the area of the yellow triangle is 1/4 (b*h*1/2) The area of the yellow + green part is 1/4 of the area of the circle (1/4 * pi * 1/2 = pi/8) The area of the blue + green areas is half of the area of the circle (1/2 * pi * (1/2)^2 or pi/8) So the area of the blue part is (blue+green) - (Yellow + green) + yellow Or pi/8 - pi/8 + 1/4 So 1/4 Edited December 16, 2013 by kevink2 0 Share this post Link to post Share on other sites

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The blue crescent is made up of a semicircle and a quarter circle (of a larger circle). If the width of the figure (diameter of the semicircle) is 1, what is the area of the crescent?

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