TEST A CHAPTER 8, GEOMETRY - USF Math Lab

1 TEST ACHAPTER 8, GEOMETRY rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has all four of itsvertices on a circle. Find the circumference of the circle. (Leave your answer in terms of .) Problem 3, find the area of the region thatis inside the circle and outside the rectangle. (Leave your answer in terms of .) circular cylinder has a circumference of 33 227 as the approximate value of and find the radius of this cylinder.

2 Width of a rectangle is 10 feet and itsdiagonal is 26 ft long. Find the length of this rectangle. window is in the shape of a rectangle surmounted by a semicircle. The width of the window is 6 ft, which is also the diameter of the circle, and the height of the rectangular part is 5ft. Find the total area of this window. circle of diameter 6 in. has its center at the center of a square of side 6 in. Find the area of the region that is inside the square and outside the circle. dimensions of a rectangular box are 2 ft by4 ft by 5 ft.

3 Find the total surface area of this box. solid consists of a cone and a hemisphere mounted base to base. If the radius of the common base is 2 in. and the volume of thecone is equal to the volume of the hemisphere, what is the height of the cone? sphere and a circular cylinder have the sameradius, 8 cm. If the two solids have equal totalsurface areas, what is the height of the cylinder? base of a pyramid is a triangle whose baseis 6 ft and whose height is 3 ft. If the pyramid is of height 5 ft, what is the volume of thispyramid?

4 Of the following statements is incorrect?1. A network with three odd vertices is not A network with exactly two odd vertices is A network with four odd vertices is A network with four even and no odd vertices is traversable. have two buttons, one with two holes andthe other with four holes. Are these buttonstopologically equivalent? Why? the genus of each of the buttons inProblem 13. the equation y = 2x(1- x), take x = andfind y1 . Then let x = y1 and find y2.

5 Afterone more step what is the value of y correctto 3 decimal places? with a square that is one inch on a side and replace a portion of each of these sides by adding on a square with sides parallel to and with two of the sides equidistant from the sides of the original square and 1/4 of an inch is the total area of the resulting figure? 17. X, Y, and Z are three points, in order from leftto right on a line AB. What does XZ _ YX _ describe? edges of the two bases of a rectangular prism form how many pairs of parallel lines?

6 How many degrees does the hourhand of a clock turn in going from 1 o'clockto 6 o'clock? 2 0 .If A and B are supplementary andm A = 3m B, find the measure of A. a triangle ABC, m A = 38o and m B = 48o. Find m C. a triangle ABC, m C = 4m A = 4m B. Find m C. the word SUNSHADE, which letters are simple but not closed broken lines? ABC and XYZ are similar, with m A = m X and m B = m Y. If AB, BC, and AC are 2 in., 3 in.

7 , and 4 in. long, respectively, and XY is 3 in. long, find the length of YZ. is the measure of one of the interiorangles of a regular polygon of nine sides? TEST BCHAPTER 8, rectangular plot of ground is to be enclosed with 180 yd offencing. If the plot is twice as long as it is wide, what are itsdimensions?a. 30 by 60 ydb. 20 by 40 ydc. 35 by 70 ydd. 25 by 50 yd e. None of these2. A 4 cm by 6 cm rectangle has all four of its vertices on a circle. Find the circumference of the circle. (Leave your answer in terms of .)a. 7 cmb. 62 cmc. 8 cmd.

8 213 cme. None of Problem 2, find the area of the region that is inside the circleand outside the rectangle. (Leave your answer in terms of .)a. (9 - 24) cm2b. (10 - 24) cm2c. (13 - 24) cm2d. (7 - 24) cm2e. None of circular cylinder has a circumference of 33 in. Use 227 as theapproximate value of and find the radius of this 10 14 514 9 None of width of a rectangle is 10 feet and the diagonal is 26 feet long. Find the length of the 28 ftb. 24 ftc. 30 ftd. 32 fte. None of window is in the shape of a rectangle surmounted by a semi-circle.

9 The width of the window is 6 ft, which is also the diameterof the circle, and the height of the rectangular part is 5 ft. Findthe total area of this (30 + 9 ) ft2b. (30 + 6 ) ft2c. (30 + ) ft2d. (30 + 4 ) ft2e. None of circle of diameter 6 in. has its center at the center of a squareof side 6 in. Find the area of the region that is inside the squareand outside the (36 - 36) (36 - 6 ) (36 - 9 ) (9 - 36) None of dimensions of a rectangular box are 2 ft by 4 ft by 5 ft. Thetotal surface area of this box isa. 38 ft2b. 40 ft2c.

10 60 ft2d. 76 ft2e. None of solid consists of a cone and a hemisphere mounted base to the radius of the common base is 2 in. and the volume of thecone is equal to the volume of the hemisphere, what is the heightof the cone?a. 2 4 6 8 10 sphere and a circular cylinder have the same radius, 8 cm. If thetwo solids have equal total surface areas, what is the height of thecylinder?a. 2 cmb. 4 cmc. 6 cmd. 8 cme. None of base of a pyramid is a triangle whose base is 6 ft and whoseheight is 3 ft. If the pyramid is 5 ft high, what is its volume?