The arc length of a circle is given by the following equation  s=rθ Where θ is in radians l. Suppose we wish to make a semi-circular pool (180 degrees), with an overall perimeter of 500 meters. What radius should we choose per these specifications? Write F(r), a function in terms of r calculating the perimeter of the pool. Make sure you take into the account  the diameter. Hint: arclength +diameter = perimeter in this case Solve for r given a perimeter of 500 meters. Does this solution make physical sense?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.