Find the area of the segment shaded in blue. The radius of the circle is 5 units and the base of the triangle is 8 units. Use pi = 3.14 and round your answers to the nearest hundredth.
Picture of graph included
http://img339.imageshack.us/img339/3127/math2ab3.jpg
please help!
2007-08-20 04:57:16 · 2 answers · asked by Adrienne W 1 in Science & Mathematics ➔ Mathematics
Total area formed by the two radii outwards = 112/360 * pi * 25 = 24.422. Bisect the triangle and form two 3-4-5 right triangles, each with area of 6, so 12 in total. Subtract this from sector of the circle: 24.42 - 12 = 12.42 sq. units.
2007-08-20 05:14:14 · answer #1 · answered by John V 6 · 1⤊ 0⤋
The shaded area is equal to the area of the secor minus the area of the triangle.
Area of sector = 112/360 * pi r^2 = 24.42 units ^2.
Area of triangle = 4*3 = 12 units ^2
So area of segment = 24.42- 12 = 12.42 units ^2
2007-08-20 12:30:34 · answer #2 · answered by ironduke8159 7 · 0⤊ 1⤋