Question

the graph shows percentages of sales made by various divisions of a company in one year. what are the angles formed by the segments for each division? what are the missing percentages? explain how you were able to determine each percentage.
division a 27%
division b 23%
division c
division d 18%
division e
division f 13%
find the angles formed by the segments for each division for which a percentage is given.
by the vertical angles theorem and the angle addition postulate, the measure of the angle formed by the segment for division c is 32.4. this corresponds to 9%.
by the vertical angles theorem and the angle addition postulate, the measure of the angle formed by the segment for division e is 36. this corresponds to 10%.
to find the percentage for a division, divide the measure of the angle formed by its segment by and the result by . (type integers or decimals. do not include the degree symbol in your answers.)

Explanation:

Step1: Record el principio

En un gráfico circular, el total de grados es 360.

Step2: Formula para calcular el porcentaje

El porcentaje de una división se calcula dividiendo la medida del ángulo de la división entre 360 y multiplicando el resultado por 100. Es decir, $\text{Porcentaje}=\frac{\text{Medida del ángulo}}{360}\times100$.

Step3: Comprobación de los valores dados

Para la División A: $\frac{97.2}{360}\times100 = 27\%$.
Para la División B: $\frac{82.8}{360}\times100 = 23\%$.
Para la División C: $\frac{32.4}{360}\times100 = 9\%$.
Para la División D: $\frac{64.8}{360}\times100 = 18\%$.
Para la División E: $\frac{36}{360}\times100 = 10\%$.
Para la División F: $\frac{46.8}{360}\times100 = 13\%$.

Answer:

Para encontrar el porcentaje de una división, divide la medida del ángulo formado por su segmento por 360 y multiplica el resultado por 100.