5 answer
a nine inch circular dinner plate is about 64 square inches
Circumference of plate: 4.3*pi = 13.5 rounded to one decimal place
Perimeter of a round plate = 2*pi*radius or pi*diameter
25pi
Imagine the cylinder is a stack of thin plates with radius 3. The surface area of the cylinder will be the total of the circumferences (the distance around the outside) of all the plates.First, you need to figure out the circumference of a plate. Circumference equals pi (3.1415926...) times the diameter. (You can probably round pi to four digits for this problem.) The formulas in this specific case are:Circumference = pi multiplied by the diameter (3+3)Surface area = Circumference multiplied by the height of the cylinder (8)The problem doesn't indicate if the cylinder is hollow, so you may need to add the areas of the top and bottom to get the total surface area. The formula for the area of a circle is pitimes the radius squared (3x3).
Assuming the plate to be circular, its circumference could be written as: Circumference = 2πr, where, π = 22/7 and r is the radius of the plate. If you need have the diameter of the plate, you can find its circumference using: Circumference = πd, where d represents the diameter of the plate.
Use the equation for circumference: C = pi * d Plug in 10 inches for "d" => C = 3.14 * 10 inches = 31.4 inches 31.4 inches is the circumference of a dinner plate with a diameter of 10 inches. Key: C = circumference d = diameter pi = 3.14
Diameter = 12 inches, Circumference = 12*(pi) = approx. 37.699 Radius = 12 inches, Circumference = 2*12*(pi) = 24*(pi) = approx. 75.398 inches If the author has actually measured the outside of the circle (i.e. the perimeter of a dinner plate), that is the circumference! Problem solved.
Circumference = 28.2743339 inches. Area = 63.6172512 square inches.
The pie plate with the 5-inch diameter is greater.
circumference about 28.27 inches area about 63.62 square inches
-- The circumference of any circle is (pi) x (diameter) = 9 pi = 28.274 inches.-- The radius of a circle is 1/2 of its diameter. The radius of the dinner plate is 4.5 inches.-- The area of a circle is (pi) x (radius)2. The area of the dinner plate is probablya bit more than that, because it's not a flat surface.-- The area of the flat circle in the plane defined by the rim of the plate is(pi) x (4.5)2 = 20.25 pi = 63.617 square inches(rounded)
Circumference = ∏ x diameterSo circumference of a dinner plate with diameter 10inches = 10∏ = 31.14inches (2.d.p)
a nine inch circular dinner plate is about 64 square inches
The area of the plate is equal to pi times the square of the radius. Since the plate has a 10 inch diameter, the radius is 5 inches. Therefore, the area is equal to pi times 25, or about 78. 5 inches.
Maximum stress concentration factor on a plate with a circular hole depends on the radius/size of the circle and the overall width of the plate. So the value can be different then 3
Circumference of plate: 4.3*pi = 13.5 rounded to one decimal place