The tyre of a car wheel has an outer diameter of 30 cm . How many times will the wheel rotate on a journey of 5 km
1 answer:
Answer:
5305.1647 times
Step-by-step explanation:
The Circumference of a circle : πd
d = diameter of circle = 30 cm
Circumference of wheel = π * 30cm = 94.247779 cm
1km to cm
1km = 100000cm
5 km = 500000 cm
Hence, number of times wheel rotate on a 5km journey :
500000 cm / 94.247779 cm
= 5305.1647 times
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<h3><u>Given:</u></h3>
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![\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7Btan%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%7D%5C%5C%5C%5Ctan%20%5C%2024%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5C%5C%5C%5C0.445%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5C%5C%5C%5CMultiply%20%5C%2012%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C0.445%20%5Ctimes%2012%20%3D%20x%5C%5C%5C%5C5.3%20%3D%20x%5C%5C%5C%5Cx%20%3D%205.3%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
