Question

The area of a ferris wheel is about 154 square meters. Which of the following is closest to the length of one of the spokes? [Assume
the spokes go from the center to the edge of the ferris wheel. Use 3.14 for T.]
Acircle = 12

A. 49 m
B. 6 m
C. 7m
D.14 m

Answer 1

Answer:

The length of one of the spoke is 7 m

Option C is correct answer.

Step-by-step explanation:

Area of Ferris Wheel = 154 square meters.

We need to find  the length of one of the spokes.

We are given: Assume  the spokes go from the centre to the edge of the Ferris wheel.

So, We are given area of circle and we need to find radius of circle.

The formula used is: $Area\:of\:circle=\pi \:r^2$

Putting values and finding radius

$Area\:of\:circle=\pi \:r^2\\154=3.14\:r^2\\r^2=\frac{154}{3.14}\\r^2=49\\Taking\:square\;root\\\sqrt{r^2}=\sqrt{49}\\r=7\:m$

So, Radius of circle = 7 m

The length of one of the spoke is 7 m

Option C is correct answer.