Answer:
The radius of the disk must be close to 33cm
Step-by-step explanation:
Formula for calculating the area of a circular metal disk is Πr² since area of a circle is Πr². If the area of the disk is 1060π sq. cms, to get the radius of the disc, we will use the formula;
A = Πr² where;
A is the area of the disc
r is the radius of the disc
Given A = 1060π sq. cms
1060Π = Πr²
1060 = r²
r = √1060
r = 32.56cm approximately
If he is allowed a tolerance of ±20Πsq. cms in area, this means that we can use 1060±20Πsq. cms as the area which is equivalent to either 1080sq. cms or 1040sq. cms
If A = 1080sq. cms
r = √1080 = 32.86cm
If A = 1040sq. cms
r = √1040 = 32.25cm
If the values of the radius are compared, the radius of the metal disk must be close to 33cm approximately which are within the tolerance limit of the area.
