We've already had this question.
If this is about a real bike it can't be answered, as the spokes never go to the precise center of the wheel.
If this is about maths, then basic geometry states that circumference = diameter times pi.
A spoke would be the radius, which is half of the diameter. Pi is usually held at 3.14, but the numbers just keeps coming.
Circumference / Pi = diameter
Diameter / 2 = radius
Now do the rest of the homework yourself.
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The formula for the circumference of a circle = 2πr. Where r is the radius and thus the length of a spoke. When 42 = 2πr then r = 42 ÷ 2π = 6.6845 inches. The length of each spoke is 6.6845 inches (4dp).
Assuming a spoke represents the radius of the circle, each one would be 4.29 inches long. When given the circumference (27 inches), the radius (spokes) is calculated using the formula r = C / 2(pi); or Radius = 27 inches / [2(3.14)].
We've already had this question. If this is about a real bike it can't be answered, as the spokes never go to the precise center of the wheel. If this is about maths, then basic geometry states that circumference = diameter times pi. A spoke would be the radius, which is half of the diameter. Pi is usually held at 3.14, but the numbers just keeps coming. Circumference / Pi = diameter Diameter / 2 = radius Now do the rest of the homework yourself.
We've already had this question. If this is about a real bike it can't be answered, as the spokes never go to the precise center of the wheel. If this is about maths, then basic geometry states that circumference = diameter times pi. A spoke would be the radius, which is half of the diameter. Pi is usually held at 3.14, but the numbers just keeps coming. Circumference / Pi = diameter Diameter / 2 = radius Now do the rest of the homework yourself.
If this is a real-life question it can't be answered, as real rims and hubs have all kinds of shapes to them that mess up the measurements. IRL a spoke wouldn't reach all the way to the center for instance, it'd be attached some way off, at the hub flange. You'd also need to know what lace pattern is being used, as that affects spoke length. But if this was a maths question that isn't required to make sense then spoke length would be (42/pi)/2.