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Finding Perimeter of a Semi-Circle Region

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Half of Circumference + Diameter

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find the perimeter of a semi-circular region with a radius of 5 yards let's look at a diagram  semicircular region with a radius of 5 yards to find the perimeter of this we need to find the circumference of half a circle with a is a 5 yards plus at its diameter so let's start by finding the circumference of our region Define the circumference of our Regency we want to divide the circumference of a normal Circle by two so let's write the four alarm for a circle of the radius of 5 formulas 2 times pi times are notice we can divide 2 out of the numerator and a Dominator of this expression and we're left with the expression Pi * are so we can substitute 3 1400 * pi + 5 for our but notice when we substitute for Pine that's an approximation so let's write that symbol hand Expression 3 + 1400 * 5  work out the product + 3 + 1400 * 5 is equal to 15 + 7/10 are we done no remember all we're finding was a circumference this figure  to be done we need to add to it the diameter  so let's write a formula for the perimeter in find out the perimeter of the whole region is the diameter or two times of radius added to the circumference of the region so we can substitute for RNC but remember when we substitute for C we had an approximation when we found see tsosie is approximate that means this expression will be proximate  sour substitute V for AR15 and 7/10 for C we simplify you have two times 5 is 10 and we add 10 to 15 and 7/10 you get 25 and 7/10 sorry answer is at the perimeter is about 25 and 7/10 Lawrence  a quick review of our solution to find the perimeter of this region  we started by finding the circumference of half a circle with a radius of 5 and then we had to add that to the dye there are two times the radius to find the perimeter of the whole region  and I are answered worked out to be 25 and 7th NCR

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Finding Perimeter of a Semi-Circle Region

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