I need answer for 1 ### Mathematics: Arc Lengths and Sector Areas---#### Problem 1:Create a problem NOT in the videos or modules with a degree measure between 15 degrees and 345 degrees that will give you an exact arc length. Show your work and write your final exact and simplified answer on the given line. Use the arc formula \( s = r\theta \).1. _______________---#### Problem 2:Find the area of the sector associated with a single slice of pizza if the entire pizza has a 14-inch diameter, and the pizza is cut into 8 pieces. Show all work and write your approximate answer (to the hundredths) on the line provided. Use the sector formula \( A = \frac{1}{2} r^2\theta \).2. _______________---#### Problem 3:If I told you that the measure of a radian differs depending on the length of the radius of the circle used, would you agree with me? Explain by using complete sentences.---#### Problem 4:Find the measure of the intercepted arc of a circle with the given radius and central angle for each problem below. Show your work. Use \( s = r\theta \).A. \( r = 8 \) inches, \( \theta = 42^\circ \) A. _______________B. \( r = 5 \) m, \( \theta = 144^\circ \) B. _______________---#### Explanations:1. **Arc Formula \( s = r\theta \)**: - \( s \) is the arc length - \( r \) is the radius - \( \theta \) is the central angle in radians2. **Sector Formula \( A = \frac{1}{2} r^2 \theta \)**: - \( A \) is the area of the sector - \( r \) is the radius - \( \theta \) is the central angle in radiansRemember to convert angles from degrees to radians when using these formulas. The conversion is done by multiplying the degree measure by \( \frac{\pi}{180} \).

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Create a problem NOT in the videos or modules with a degree measure between 15 degrees and 345 degrees that will give you an exact arc length. Show your work and write your final exact and simplified answer on the given line. Use the arc formula s = re