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The circumference of a circle = 2π r = π a (where a is the base of the semicircle and is also the diameter of the circle)

The perimeter of the semicircle = half the perimeter of the circle + the base length

The perimeter of the semicircle = πa/2 + a = a(1 + π /2) feet

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What is the perimeter of a semicircle with radius 8cm?

A semicircle is half a circle. So the perimeter of a semicircle is half the circumference of the whole circle plus the diameter, which is twice the radius: perimeter = 1/2 x 2{pi}r + 2r perimeter ~= 3.14x8 + 2x8 ~= 41.13cm


What is the perimeter of a semicircle with 28mm as diameter?

Perimeter (or circumference) of a circle = pi x diameter = pi x 28, but we need the circumference of only half of it (semicircle is half of a circle) Hence the answer is pi x 14 = 3.1415 x 14 = 43.981 mm


What is the perimeter of a semicircle if the diameter is 8cm?

Well, darling, the perimeter of a semicircle is the sum of the semicircle's curved edge (half the circumference of a full circle) and the diameter. So, with a diameter of 8cm, the curved edge would be half of the circumference of a circle with a diameter of 8cm, which is 8π cm. Add that to the diameter, and you get a sassy perimeter of 8π + 8 cm, or approximately 33.13 cm.


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 a Norman window with a perimeter of 45 feet, let the width of the rectangle be ( w ) and the height be ( h ). The semicircle has a radius of ( r = \frac{w}{2} ), so the perimeter can be expressed as ( P = w + 2h + \pi r = w + 2h + \frac{\pi w}{2} ). Setting this equal to 45 feet and solving for ( h ) gives ( h = \frac{45 - w - \frac{\pi w}{2}}{2} ). The area ( A ) is then given by ( A = wh + \frac{\pi r^2}{2} = wh + \frac{\pi (w/2)^2}{2} ), which can be maximized by substituting ( h ) back into the area formula.


What is the formula for finding the perimeter of a semicircle?

Half the Circumference + the DiameterCircumference of a circle = pi X d ,so perimeter of a semi-circle = (3.142 X Diameter) + Diameter

Related Questions

How do you find the perimeter of a semicircle if its diameter is 45 cm?

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


The radius of the semicircle is 5 feet and the dimensions of the rectangle are 10 ft by 16 ft The semicircle is attached to the width of it What is the perimeter?

Perimeter = (2*pi*5*1/2)+10+16+16 = 57.70796327 or 58 feet


How do you find the perimeter of a shape that has a semicircle?

To find the perimeter of the curved section of the semi-circle: Perimeter of semicircle = Pi x radius If you also need to the find the perimeter of the straight part of the semicircle (the diameter), it is simply double the radius.


What square table 4 feet in each side has two drop leaves each semicircle 4 feet in diameter what is the perimeter?

To find the perimeter of the table, first calculate the perimeter of the square part. The square has four sides of 4 feet each, contributing 16 feet. The two drop leaves are semicircles with a diameter of 4 feet, giving a radius of 2 feet. The perimeter of one semicircle is ( \pi \times 2 ) feet, so for two semicircles, it is ( 2 \pi \times 2 = 4\pi ) feet. Therefore, the total perimeter is ( 16 + 4\pi ) feet.


What is the formula of a semicircle in perimeter?

The perimeter of a semicircle with radius R is pi*R + 2*R = R*(pi + 2)


How do find the circumference of a recttangle and semicircle put together?

If the semicircle is placed on 1 side of the rectangle:Find the total perimeter(circumference) of the side opposite to the one with the semicircle's base and the 2 sides perpendicular to the semicircle's base.The formula for circumference of a circle is 2πr.Thus for the semicircle we will take the circumference as πr.Find the sum of 1st and 2nd points. This is the final answer.


Perimeter of a semicircle when the Diameter is 8?

Perimeter of a semicircle is the length of the half-circle plus the diameter. The whole circle would have a length of diameter times pi, but since it's only half... Perimeter of semicircle = (1/2*pi*D) + D


What is the perimeter of a semicircle that is 5 inches?

The answer will depend on what measure of the semicircle is 5 inches: its radius or diameter.


What is the perimeter of a semicircle with radius 8cm?

A semicircle is half a circle. So the perimeter of a semicircle is half the circumference of the whole circle plus the diameter, which is twice the radius: perimeter = 1/2 x 2{pi}r + 2r perimeter ~= 3.14x8 + 2x8 ~= 41.13cm


What is the base and perimeter of a rectangle with an area of 102 square feet and a height of 12 feet?

Base = 102/12 = 8.5 feet Perimeter = 12+8.5+12+8.5 = 41 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.


How do we find a perimeter of a semicircle?

It is its diameter plus half of its circumference