QUESTION IMAGE
Question
- which of the measurements below is likely the circumference of this tire: lt290/85r15?○ 108.02 inches○ 34.94 inches○ 19.94π inches○ 9.97 inches
Step1: Extract tire diameter
The tire code LT290/85R15 means:
- Section width: 290 mm
- Aspect ratio: 85%
- Rim diameter: 15 inches
First convert section width to inches: $290\ \text{mm} \times \frac{1\ \text{inch}}{25.4\ \text{mm}} \approx 11.42\ \text{inches}$
Step2: Calculate sidewall height
Sidewall height = section width × aspect ratio
$\text{Sidewall height} = 11.42 \times 0.85 \approx 9.71\ \text{inches}$
Step3: Calculate total tire diameter
Total diameter = rim diameter + 2×sidewall height
$\text{Total diameter} = 15 + 2\times9.71 = 34.42\ \text{inches}$
Step4: Calculate circumference
Circumference formula: $C = \pi d$
$C = \pi \times 34.42 \approx 108.13\ \text{inches}$
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108.02 inches