Last year, Bob's Auto Supplies sold 120 air filters out of a total of 3000 items sold. Bob will show his sales in a circle graph. Find the measure of the central angle that will represent the air filter category.
assuming that bob will use a circle with radius 1 unit, then the area of the whole circle is A = pi R^2 A = 3.1416(1^2) A = 3.1416
fraction of auto supplies = 120 / 3000 = 0.04 Area auto supplies = 3.1415(0.04) = 0.1257
formula for of a circular segment A = 0.5r^2x where x is the angle in radian 0.1257 = 0.5(1^2)x x = 0.2513 rad convert to degrees x = 0.2513 rad ( 180 /pi) x = 14.40 degrees
