Geometry CC
HW 11.2
Name _______________________________
Period _______
1.
a. Approximate the area of a disk of radius 1 using an inscribed regular hexagon.
What is the percent error of the approximation?
(Remember that percent error is the absolute error as a percent of the exact
measurement.)
b. Approximate the area of a circle of radius 1 using a circumscribed regular hexagon.
What is the percent error of the approximation?
c.
Find the average of the approximations for the area of a circle of radius 1 using
inscribed and circumscribed regular hexagons. What is the percent error of the
average approximation?
2.
a. Approximate the area of a disk of radius 1 using an inscribed regular octagon.
What is the percent error of the approximation?
(Remember that percent error is the absolute error as a percent of the exact
measurement.)
b. Approximate the area of a circle of radius 1 using a circumscribed regular octagon.
What is the percent error of the approximation?
c.
Find the average of the approximations for the area of a circle of radius 1 using
inscribed and circumscribed regular octagons. What is the percent error of the
average approximation?
3. A student estimated a mass to be 325 grams, but upon carefully measuring it, found the
actual mass to be 342 grams. What is the percent error of his estimation?
4. A student’s calculation was found to have a 35.5% error, and his observed
measurement was 15.6 cm. What are the two possible values for the actual
measurement?
5. Jay estimated that the dimensions of his room were 8 ft by 10.5 feet. The actual
dimensions of the room are 8.4 feet by 10.8 feet. Find the relative error of the area of
the room. Round to the nearest thousandth.