the central angle of sector f is 171°. the central angle of sector e is 45°. what is the probability that…

the central angle of sector f is 171°. the central angle of sector e is 45°. what is the probability that the spinner lands on f or e? write your answer as a fraction or decimal. do not round.

the central angle of sector f is 171°. the central angle of sector e is 45°. what is the probability that the spinner lands on f or e? write your answer as a fraction or decimal. do not round.

Answer

Explanation:

Step1: Find the sum of central angles of sector (F) and (E)

The sum of central angles of sector (F) and (E) is (171^{\circ}+ 45^{\circ}=216^{\circ})

Step2: Use the probability formula for a spinner (probability (P=\frac{\text{Central angle of the region}}{\text{Total central angle of the circle}}))

Since the total central angle of a circle is (360^{\circ}), the probability (P = \frac{216}{360}) Simplify (\frac{216}{360}): (\frac{216\div72}{360\div72}=\frac{3}{5}=0.6)

Answer:

(0.6) or (\frac{3}{5})