The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.
A. 2.93
B. 2.07
C. 8.59
D. 4.30
C=2PI*r
r=C/2PI=27/6.28 inches
how did you figure that out can you help me
figure it out like explain it for me please
2pi = 6.28
so, you have
2pi r = C
6.28r = 27
now just divide by the 6.28 as usual to get r.
What the answer
To find the length of each spoke, we need to use the circumference of the rim of the wheel. The circumference of a circle can be found using the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
In this case, we know the circumference of the rim is 27 inches, so we can set up the equation 27 = 2πr. To solve for r, divide both sides of the equation by 2π:
27 / (2π) = r
Now, we can plug in the value of π (approximately 3.14) and calculate the radius:
27 / (2 * 3.14) ≈ r
8.59 ≈ r
Therefore, the radius of the wheel is approximately 8.59 inches.
Since the spoke reaches from the center of the wheel to its rim, the length of each spoke will be equal to the radius of the wheel.
Therefore, the answer is C. 8.59