Question

How many degrees are in the "Comedy" sector of the graph? Round your answer to the nearest degree

Answer 1

no radius?

Answer 2

?

Answer 3

there is options

Answer 4

no radius

Answer 5

25

45

72

90

Answer 6

it's 72

Answer 7

By counting all the sectors of the given pie graph
27+16+25+20+15+22 = 125

Answer 8

therefore the circumference of the pie graph is 125
and the equation for the circumference of a circle is
C =2pi r

Answer 9

125 = 2pi r
125 / 2pi = r
r = 19.89

Answer 10

the equation for the sector of a circle is
s = theta r

Answer 11

\[s = \theta r\]

Answer 12

Note! theta in radians!

Answer 13

since the measurement of the sector for the comedy is 25
therefore,
25 = theta (19.98)

Answer 14

theta = 25 / 19.98

Answer 15

theta = 1.257

Answer 16

convert to degrees

Answer 17

1 rad = 57.2957795 deg

Answer 18

1.257 * 57.2957795 = 72 degrees

Answer 19

thanks