Question

An amusement park has discovered that the brace that provides stability to the Ferris wheel has been damaged and needs work. The arc length of the steel reinforcement that must be replaced is between the two seats shown below. The sector area is 28.25 ft2 and the radius is 12 feet. What is the length of steel that must be replaced (Arc Length)? Describe the steps you used to find your answer and show all work. Round θ to the nearest tenth.Your answer must include at least 3 complete sentences and full mathematical calculations

Answer 1

Given:

sector area is 28.25 ft2

and the radius is 12 feet.

Required:

What is the length of steel

Step-by-step explanation:

analyze the problem

we know the formula=

`\begin{gathered} s=(1)/(2)lr \\ \\ because\text{ s=28.25 and r=12} \\ \\ so\text{ the length of arc is L} \\ \\ l=(2s)/(r)=(2*28.25)/(12)=4.71 \end{gathered}`

Required answer:

In The sector area and circle radius are given in this equation.

We may use the sector area formula.

To compute length by entering the values of the area and radius into the formula.

`l=4.71`