contestada

A machinist is required to manufacture a circular metal disk with area 600 cm2 . (a) What radius produces such a disk? (b) If the machinist is allowed an error tolerance of ±5cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (c) In terms of the limit limx→a f(x) = L, what is f(x)? What is a? What is L?

Respuesta :

The required radius and error in radius is 13.8 cm and ± 0.12cm

Given that,
A machinist is required to manufacture a circular metal disk with an area of 600cm².
(a) What radius produces such a disk is to be determined
(b) If the machinist is allowed an error tolerance of ±5cm2 in the area of the disk, how close to the ideal radius in part is to be determined.

What is an area circle?

The area of a circle is given by the pie times square of the radius.

Area of circle = πr^2

Here,
a) The given area of disk = 600 cm²
   πr² = 600
   r = √600/3.14
   r = 13.8 cm

b) an error tolerance of ± 5 cm² in the area of the disk,
So the percentage of error is 0.84%
Now, 0.84% of radius = 0.84 *13.8/100 = 0.12
The required error in radius will be ±0.12 cm

Thus, the required radius and error in radius is 13.8 cm and ± 0.12cm.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

Otras preguntas