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GeometryElementary Geometry for College StudentsIn Exercises 17 to 30, use the formula A = 1 2 a P to find the area of the regular polygon described. In a regular octagon, the approximate ratio of the length of an apothem to the length of a side is 6:5. For a regular octagon with a side of length 15 ft, find the approximate area.BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

Publisher: Cengage Learning

ISBN: 9781285195698

Chapter 8.3, Problem 28E

Textbook Problem

*In Exercises 17 to 30, use the formula*
*to find the area of the regular polygon described.*

In a regular octagon, the approximate ratio of the length of an apothem to the length of a side is 6:5. For a regular octagon with a side of length 15 ft, find the approximate area.

Elementary Geometry for College Students

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Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 9 to 18, find the areas of the...Ch. 8.1 - In Exercises 19 to 22, find the area of the shaded...Ch. 8.1 - In Exercises 19 to 22, find the area of the shaded...Ch. 8.1 - In Exercises 19 to 22, find the area of the shaded...Ch. 8.1 - In Exercises 19 to 22, find the area of the shaded...Ch. 8.1 - A triangular corner of a store has been roped off...Ch. 8.1 - Carpeting is to be purchased for the family room...Ch. 8.1 - The exterior wall the gabled end of the house...Ch. 8.1 - The roof of the house shown needs to be...Ch. 8.1 - A beach tent is designed so that one side is open....Ch. 8.1 - Gary and Carolyn plan to build the deck shown. a...Ch. 8.1 - A square yard is a square with sides 1 yard in...Ch. 8.1 - The following problem is based on this theorem: A...Ch. 8.1 - For Exercise 31 and 32, X is the midpoint of VT...Ch. 8.1 - For Exercise 31 and 32, X is the midpoint of VT...Ch. 8.1 - Given ABC with midpoints M, N and P of the sides,...Ch. 8.1 - In Exercises 34 to 36, provide paragraph proofs....Ch. 8.1 - In Exercises 34 to 36, provide paragraph proofs....Ch. 8.1 - In Exercises 34 to 36, provide paragraph proofs....Ch. 8.1 - Given: The area of right ABC not shown is 40in2....Ch. 8.1 - The lengths of the legs of a right triangle are...Ch. 8.1 - Given: ABC, whose sides are 13 in., 14 in., and 15...Ch. 8.1 - Given: ABC, whose sides are 10 cm, 17 cm, and 21...Ch. 8.1 - If the length of the base of a rectangle is...Ch. 8.1 - If the length of the base of a rectangle is...Ch. 8.1 - Given region RS, explain why ARSAR.Ch. 8.1 - Given region RST, explain why ARSTAR+AS+AT.Ch. 8.1 - The algebra method of FOIL multiplication is...Ch. 8.1 - Use the square configuration to complete the...Ch. 8.1 - In Exercises 47 to 50, use the fact that the area...Ch. 8.1 - In Exercises 47 to 50, use the fact that the area...Ch. 8.1 - In Exercises 47 to 50, use the fact that the area...Ch. 8.1 - In Exercises 47 to 50, use the fact that the area...Ch. 8.1 - The area of a rectangle is 48in2. Where x is the...Ch. 8.1 - The perimeter of the rectangle is 32 cm. Where x...Ch. 8.1 - Square DEFG is inscribed in right ABC, as shown....Ch. 8.1 - TV bisects STR of STR. ST=6 and TR=9. If the area...Ch. 8.1 - a Find a lower estimate of the area of the figure...Ch. 8.1 - a Find a lower estimate of the area of the figure...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 1 to 8, find the perimeter of each...Ch. 8.2 - In Exercises 9 and 10, use Herons Formula. Find...Ch. 8.2 - In Exercises 9 and 10, use Herons Formula. Find...Ch. 8.2 - For Exercises 11 and 12, use Brahmaguptas Formula....Ch. 8.2 - For Exercises 11 and 12, use Brahmaguptas Formula....Ch. 8.2 - In Exercises 13 to 18, find the area of the given...Ch. 8.2 - In Exercises 13 to 18, find the area of the given...Ch. 8.2 - In Exercises 13 to 18, find the area of the given...Ch. 8.2 - In Exercises 13 to 18, find the area of the given...Ch. 8.2 - In Exercises 13 to 18, find the area of the given...Ch. 8.2 - In Exercises 13 to 18, find the area of the given...Ch. 8.2 - In a triangle of perimeter 76 in., the length of...Ch. 8.2 - In a triangle whose area is 72 in2, the base has a...Ch. 8.2 - A trapezoid has an area of 96 cm2. If the altitude...Ch. 8.2 - The numerical difference between the area of a...Ch. 8.2 - Find the ratio A1A2 of the areas of two similar...Ch. 8.2 - Find the ratio A1A2 of the areas of two similar...Ch. 8.2 - In Exercises 25 and 26, give a paragraph form of...Ch. 8.2 - In Exercises 25 and 26, give a paragraph form of...Ch. 8.2 - In Exercises 27 to 30, find the area of the figure...Ch. 8.2 - In Exercises 27 to 30, find the area of the figure...Ch. 8.2 - In Exercises 27 to 30, find the area of the figure...Ch. 8.2 - In Exercises 27 to 30, find the area of the figure...Ch. 8.2 - Mary Frances has a rectangular garden plot that...Ch. 8.2 - The perimeter of a right triangle is 12 m. 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Point W...Ch. 8.2 - For the cyclic quadrilateral MNPQ, the sides have...Ch. 8.3 - Find the area of a square with a sides of length...Ch. 8.3 - Find the area of a square with a a perimeter of...Ch. 8.3 - Find the area of an equilateral triangle with a...Ch. 8.3 - Find the area of an equiangular triangle with a a...Ch. 8.3 - In a regular polygon, each central angle measures...Ch. 8.3 - In a regular polygon, each interior angle measures...Ch. 8.3 - For a regular hexagon, the length of the apothem...Ch. 8.3 - For a regular hexagon, the length of the radius is...Ch. 8.3 - In a particular type of regular polygon, the...Ch. 8.3 - In a particular type of regular polygon, the...Ch. 8.3 - In one type of regular polygon, the measure of...Ch. 8.3 - If the area (A=12aP) and the perimeter of a...Ch. 8.3 - Find the area of a square with apothem a = 3.2 cm...Ch. 8.3 - Find the area of an equilateral triangle with...Ch. 8.3 - Find the area of an equilateral triangle with...Ch. 8.3 - Find the area of a square with apothem a = 8.2 ft...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - In Exercises 17 to 30, use the formula A=12aP to...Ch. 8.3 - Find the ratio of the area of a square...Ch. 8.3 - Given regular hexagon ABCDEF with each side of the...Ch. 8.3 - Given a regular octagon RSTUVWXY with each side of...Ch. 8.3 - Regular octagon ABCDEFGH is inscribed in a circle...Ch. 8.3 - Given regular pentagon RSTVQ and equilateral...Ch. 8.3 - Consider regular pentagon RSTVQ not shown. Given...Ch. 8.3 - Consider a regular hexagon ABCDEF not shown. By...Ch. 8.3 - The length of each side of a regular hexagon...Ch. 8.4 - Find the exact circumference and area of a circle...Ch. 8.4 - Find the exact circumference and area of a circle...Ch. 8.4 - Find the approximate circumference and area of a...Ch. 8.4 - Find the approximate circumference and area of a...Ch. 8.4 - Find the exact lengths of the radius and the...Ch. 8.4 - Find the approximate lengths of the radius and the...Ch. 8.4 - Find the exact lengths of the radius and the...Ch. 8.4 - Find the exact length of the radius and the exact...Ch. 8.4 - Find exactly lAB, where AB refers to the minor arc...Ch. 8.4 - Find exactly lCD for the minor arc shown.Ch. 8.4 - Use your calculator value of to find the...Ch. 8.4 - Use your calculator value of to find the...Ch. 8.4 - A metal circular disk whose area is 143 cm2 is...Ch. 8.4 - A circular lock washer whose outside circumference...Ch. 8.4 - The central angle corresponding to a circular...Ch. 8.4 - Use your calculator to find the approximate...Ch. 8.4 - A rectangle has a perimeter 16 in. 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If...Ch. 8.CR - Find the area of a regular hexagon whose apothem...Ch. 8.CR - In a regular polygon, each central angle measures...Ch. 8.CR - Can a circle be circumscribed about each of the...Ch. 8.CR - Can a circle be inscribed in each of the following...Ch. 8.CR - The length of the radius of a circle inscribed in...Ch. 8.CR - The Turners want to install outdoor carpet around...Ch. 8.CR - Find the exact areas of the shaded regions in...Ch. 8.CR - Find the exact areas of the shaded regions in...Ch. 8.CR - Find the exact areas of the shaded regions in...Ch. 8.CR - Find the exact areas of the shaded regions in...Ch. 8.CR - Find the exact areas of the shaded regions in...Ch. 8.CR - The arc of a sector measures 40. Find the exact...Ch. 8.CR - The circumference of a circle is 66 ft. aFind the...Ch. 8.CR - A circle has an exact area of 27ft2. aWhat is the...Ch. 8.CR - An isosceles right triangle is inscribed in a...Ch. 8.CR - Given : Concentric circles with radii of lengths R...Ch. 8.CR - Prove that the area of a circle circumscribed...Ch. 8.CR - Prove that if semicircles are constructed on each...Ch. 8.CR - Jeff and Helen want to carpet their family room,...Ch. 8.CR - Sue and Daves semicircular driveway is to be...Ch. 8.CT - Complete each statement. a Given that the length...Ch. 8.CT - Give each formula. a The formula for the area of a...Ch. 8.CT - Determine whether the statement is true or false....Ch. 8.CT - If the area of rectangle ABCD is 46 cm2, find the...Ch. 8.CT - In square feet, find the area of EFGH. _Ch. 8.CT - Find the area of rhombus MNPQ given that QN=8 ft...Ch. 8.CT - Use Herons Formula, A=s(sa)(sb)(sc), to find the...Ch. 8.CT - In trapezoid ABCD, AB=7 ft and DC=13 ft. If the...Ch. 8.CT - A regular pentagon has an apothem of length 4.0...Ch. 8.CT - For the circle shown below, the length of the...Ch. 8.CT - Where , find the approximate length of AC. lAC_Ch. 8.CT - Where 3.14, find the approximate area of a circle...Ch. 8.CT - In the figure, a square is inscribed in a circle....Ch. 8.CT - Find the exact area of the 1350 sector shown. _Ch. 8.CT - Find the exact area of the shaded segment. _Ch. 8.CT - The area of a right triangle whose sides have...Ch. 8.CT - Pascual is remodeling a house and plans a complete...

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