# SOLUTION: What is the central angle of a sector that is 40% of the pie chart

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 Click here to see ALL problems on Angles Question 328758: What is the central angle of a sector that is 40% of the pie chart Found 2 solutions by Fombitz, Theo:Answer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!100% would be 360 degrees. degrees Answer by Theo(3556)   (Show Source): You can put this solution on YOUR website!If it's 40% of the pie chart, then it takes up 40% of the area of the circle. It also takes up 40% of the total degrees of the circle. The total degrees of the circle is 360. 40% of 360 = .4 * 360 = 144 degrees. The central angle will be 144 degrees. The area of a circle is equal to pi * r^2 The area of a section of a circle is equal to x/360 * pi * r^2 Since x = 144, then the area of the section of the circle is equal to 144/ 360 * pi * r^2 which is equal to .4 * pi * r^2 which is equal to 40% of the area of the circle. The simple answer is that 40% of the circle is 40% of the number of degrees in the circumference of the circle which is 40% of 360 which is 144. If you divide the circle in half, then each half has 180 degrees. If you divide the circle in fourths, then each fourth has 90 degrees.