Geometry
Chapter 5: Assignment #3
Name: ________________________
1. Find the area of:
a. A regular octagon with a perimeter of 96 m and an apothem of 5 m.
b. A regular nonagon with sides 4 inches.
c. A circle with radius 8 ft.
d. A circle with diameter 8 inches.
e. A circle with circumference of 8 yards.
f. A semi-circle with radius 8 meters.
2. A wheel of a toy car has an area of 5 cm2 and a radius of about 1.26 cm. there is a mark
on the point of the wheel that touches the floor. You start pushing the car forward and the
marked point does not touch the floor any more. What is the shortest distance you have to
push the car for the mark to touch the floor again?
3. Beth wants to find the area she can enclose with 264 mm of string. She makes a circle so
that the ends of the string touch. The circle has a radius of about 42 mm. what is its
approximate area?
4. Find the area of a circle with the given dimensions.
a. A radius of 12 m
b. A diameter of 20 in
c. The circle obtained by scaling a circle of radius 4 in by a factor of ½.
5. A pizza is cut into 6 equal slices. Find the area of one slice if the pizza has the given
diameter.
a. 12 inches
b. 16 inches
c. The crust is 1 in wide. What is the area of the slice, minus the crust, for the 12
inch pizza?