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
can someone explain how to do this problem I don't understand how to do it
You are just finding the radius of circle with a circumference of 27 inches
2πr = 27
r = 27/(2π) = appr 4.30
Thank you for explaining it for me
You are welcome
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 42 inches, how long is each spoke? Round your answer to the nearest hundredth.
A. 7 inches
B. 6.69 inches
C. 13.38 inches
D. 6.25 inches
6.69 Ansewer
To find the length of each spoke, we need to use the formula for the circumference of a circle: C = πd, where C is the circumference and d is the diameter of the circle.
In this problem, the circumference of the wheel's rim is given as 27 inches. Since the circumference is the distance around the rim, we can set up an equation:
27 = πd
To find the diameter, we divide both sides of the equation by π:
27/π = d
Now, we can use the fact that the spoke of the wheel reaches from the center to its rim. The diameter of the wheel is twice the length of each spoke. So, to find the length of the spoke, we divide the diameter by 2:
d/2 = 27/(2π)
Now we can calculate the length of the spoke using a calculator or by approximating the value of π:
d/2 ≈ 27/(2 * 3.14)
Simplifying the right side, we get:
d/2 ≈ 27/6.28
Approximating, we get:
d/2 ≈ 4.30
Therefore, the length of each spoke is approximately 4.30 inches.
So, the correct answer is D. 4.30.