0.013%
3 The student can measure the given angles to within 2 degrees of the actual measurement and identify each angle, with 95% accuracy 2 The student is able to measure the given angles to within 10 degrees, and is able to identify the angles with 95% accuracy 1 Student is unable to correctly measure the given angles and/or identify the angles correctly
R = radius c = chord length s = curve length c = 2Rsin(s/2R) you can solve for radius by trial and error as this is a transcendental equation
((Result-accepted value)/accepted value) x 100 ((176-180)/180) x 100 = -2.222 180 is the max measure of the sum of the interior angles I just dropped the -
There are two ways of answering this questionCalculus Let A denote the area and r the radius.Then A = pi*r2 = pi*1.8*104cm = 1,017,876*103 cm2Now "error" = dA = pi*2r*dr where dr is the error in the measurement of the radius = 0.05*104 = 500 cm.So dA = 56,549*103 cm2.Therefore, percentage error = 100*dA/A = 5.55... (recurring) %Explicit calculationr = 1.8*104 cm. Therefore the range for radius is 17,500 to 18,500 cm.That gives an area of 1,017,876*103 cm2 with a range of962,113*103 to 1,075,210*103 cm2That gives an average absolute error of 56,549*103 cm2 and as before, the percentage error is 5.55... %.
By Apothem LengthThe area of a regular octagon can also be computed using its measured apothem (a line from the center to the middle of any side). The formula for an octagon with side length s and apothem a is Area = a4s . (apothem times one-half the perimeter)So for this example, (8 cm and 9.66 cm) Area = (9.66)(32) = 309.12 cm2----By Side LengthThe area of a regular octagon with side length s is given as Area = 4.828427 s2 , so for a regular octagon of side length 8 cm , the area is calculated as 309.02 cm2. (indicating an error from rounding the apothem length)(This formula is generated by adding or subtracting the missing corner triangles.)
.229/.225 = 1.0178 percent error = (1.0178 - 1) times 100 to get to percent = .0178 x 100 = 1.78%
area= side^2 let the symbol # denote error in measurement #area/area= 2(#length/length) #area/area*100= 2(#length/length)*100 percent error in area= 2*percent error in length=2% 2 per cent
The percent error is calculated by taking the absolute difference between the measured value and actual value, dividing it by the actual value, and then multiplying by 100. If the actual weight is not provided, the percent error cannot be calculated.
Measurement error: obviously!
The percent error in the student's measurement is calculated as |(measured value - actual value) / actual value| x 100. Plugging in the values, we get |(56.0g - 55.0g) / 55.0g| x 100 = 1.82%. This means the student's measurement is 1.82% higher than the actual value.
Divide the calculated or estimated error by the magnitude of the measurement. Take the absolute value of the result, that is, if it is negative, convert to positive. This would make the percent error = | error / measurement |.
By definition of percent error, you can't. But you can approximate zero instead, with the number of decimals appropriate to the accuracy of the measurement, e.g. 0.01, 1E-100, etc.
The error in its area is then 2 percent....
You do not add the percentage error but the actual error.
It is a measure measurement of the amount of error made in an experiment. It is obtained by comparing the actual result, with the result gotten from the experiment. % error = [(experimental value - true value) / true value] x 100
The percentage error in the area of the square will be twice the percentage error in the length of the square. This is because the error in the length affects both the length and width of the square, resulting in a compounded effect on the area. Therefore, if there is a 1 percent error in the length, the percentage error in the area would be 2 percent.
Percent error = (actual value - theoretical value) / theoretical value * 100%