Answer:
The length of arc PQ is 8.1 inches.
Step-by-step explanation:
First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :
[tex]73 + 150 + 65 + ∠POQ = 360[/tex]
[tex]288 + ∠POQ = 360[/tex]
[tex]∠POQ = 360 - 288 = 72[/tex]
Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :
[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]
[tex]let \: θ = 72,\pi = 3.14,r = 6.48[/tex]
[tex]arc = \frac{72}{360} \times 2 \times 3.14 \times 6.48[/tex]
[tex]arc = 8.1 \: inches \: (near.tenth)[/tex]
