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Perimeter of the semicircle including its base: 180/360*pi*45+45 = 115.686 cm rounded to 3 decimal places

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Q: How do you find the perimeter of a semicircle if its diameter is 45 cm?
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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 45 feet?

To solve this problem, let's break it down step by step. Let ( r ) be the radius of the semicircle, which is also the width of the rectangle. The perimeter of this figure (Norman window) is given as 45 feet: The perimeter, ( P ), is the sum of the parts: the semicircle's circumference and the perimeter of the rectangle. The semicircle's circumference: ( \pi r ) The perimeter of the rectangle: ( 2r + 2r = 4r ) So, the total perimeter equation is: [ \pi r + 4r = 45 ] This simplifies to: [ \pi r + 4r = 45 ] [ (\pi + 4) r = 45 ] [ r = \frac{45}{\pi + 4} ] Now, we need to find the total area of the figure. The area of the semicircle is: [ \frac{\pi r^2}{2} ] The area of the rectangle is: [ r \times 2r = 2r^2 ] The total area, ( A ), is the sum of these two parts: [ A = \frac{\pi r^2}{2} + 2r^2 ] Substitute the value of ( r ) derived earlier: [ A = \frac{\pi (\frac{45}{\pi + 4})^2}{2} + 2(\frac{45}{\pi + 4})^2 ] Calculating this would give the area of the largest possible Norman window with a perimeter of 45 feet.


A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the window with a perimeter of 45 feet?

To find the area of the Norman window, you need to divide the perimeter by 2 to get the width of the rectangle, which is 22.5 feet. The radius of the semicircle is half of the rectangle's width, so it's 11.25 feet. The area of the rectangle is 11.25 * 22.5 = 253.13 square feet, and the area of the semicircle is 0.5 * pi * 11.25^2 = 198.93 square feet. So, the total area of the window is 253.13 + 198.93 = 452.06 square feet.


What are the dimensions of a square with a perimeter of 36 and a area of 45?

A square can't have a perimeter of 36 and an area of 45. If a square's perimeter is 36,then its area is 81. If a square's area is 45, then its perimeter is about 26.83 . (rounded)A figure whose perimeter is 36 and whose area is 45 is not a square. It's a rectanglethat measures (3 by 15).


What is the perimeter of a 45 degree angle?

An angle doesn't have a perimeter.


What is the perimeter of an isosceles triangle with a base of 45 and a side of 58?

Perimeter = 45+58+58 = 161 units of measurement


How you find the height of triangle if you have the perimeter?

For example, if you have a 45-45-90 triangle. Let's say to sides are 14 and the base is 28. The perimeter would be 56. Divide the base by 2 to get 14. Then use the pythagorean theorem to find the missing side. c= 14, a= 14. and b= ?


What is the radius and circumference of coin if the diameter is 45 mm?

The radius of a coin with diameter of 45 mm is : 45/2 = 22.5mm The circumference of a coin with diameter of 45 mm is 45*pi = 141,372mm rounded to 3 decimal places


What is the perimeter of a garden that is 39 feet long and 45 feet wide?

Perimeter of garden: 39+45+39+45 = 168 feet


What is the perimeter of a retangle with the length of 45 cm and width of 30 cm?

we know,perimeter of rectangle = 2 * ( l+b) perimeter= 2 *(45+30) = 2 * 75 =150 cm


How do you find the perimeter of a picture frame?

you would add the topp and the side then times it by two i think


Pentagon with a perimeter of 45 feet?

Yes; what about it?


What is a diameter of a circle with a circumference of 45 cm?

The diameter of a circle with a circumference of 45 cm is: about 14.32 cm