<u>Given</u>:
The arc length for the given sector is 7π
The central angle for the given sector is θ
The radius of the circle is r.
We need to determine the formula for r in terms of θ
<u>Formula for r:</u>
The formula for r in terms of θ can be determined using the arc length formula,

Substituting the values, we have;

Dividing both sides by θ, we get;

Thus, the formula for r in terms of θ is 
<span>a linear function from the real numbers to the real numbers is a function whose graph is a line in the plane</span>
<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Multiplying both sides of the equation by 8, we get;

Simplifying, we get;


Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.