Answer:
Length of arc PQ = 8.1 inches
Step-by-step explanation:
In the circle graph, we are given the central angle of each arc length.
Let's find the missing central angle of arc PQ.
The whole circle is 360°
So, the central angle of arc length PQ = 360° - (150 + 65 + 73)
= 360 - 288
Central angle of arc PQ = 72°
Now we have to find the arc length of PQ.
Here we have to use formula:
Arc length = [tex]\frac{central angle}{360} *2*pi*r[/tex]
Here central angle = 72°, r = 6.48 and the value of π = 3.14
Now plug in these values in the above formula, we get
Length of arc PQ = [tex]\frac{72}{360} *2*3.14*6.48[/tex]
= [tex]\frac{40.69}{5}[/tex]
Length of arc PQ = 8.1 inches (Rounded to the nearest tenths place]
