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GeometryElementary Geometry For College Students, 7eIn a regular polygon, each central angle measures 45 ∘ . a) How many sides does the regular polygon have? b) How many diagonals does this regular polygon have? c) If each side measures 5 cm and each apothem is approximately 6 cm in length, what is the perimeter of the polygon?BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 7.CR, Problem 28CR

Textbook Problem

In a regular polygon, each central angle measures

a) How many sides does the regular polygon have?

b) How many diagonals does this regular polygon have?

c) If each side measures

Elementary Geometry For College Students, 7e

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Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...

Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 11 to 22, sketch and describe each...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Construct the three angle bisectors and then the...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.2 - Note: Exercise preceded by an asterisk are of a...Ch. 7.2 - Note: Exercises preceded by an asterisk are of a...Ch. 7.2 - Note: Exercises preceded by an asterisk are of a...Ch. 7.2 - a What is the general name of the point of...Ch. 7.2 - a What is the general name of the point of...Ch. 7.2 - Which lines or line segments or rays must be drawn...Ch. 7.2 - Which lines or line segments or rays must be drawn...Ch. 7.2 - a Is it really necessary to construct all three...Ch. 7.2 - Which lines, line segments, or rays are used to...Ch. 7.2 - a To locate the orthocenter, is it necessary to...Ch. 7.2 - To locate the centroid of a triangle, is it...Ch. 7.2 - For what type of triangle are the angle bisectors,...Ch. 7.2 - What point on a right triangle is the circumcenter...Ch. 7.2 - Must the centroid of an isosceles triangle lie on...Ch. 7.2 - Draw a triangle and, by construction, find its...Ch. 7.2 - Draw an acute triangle and, by construction, find...Ch. 7.2 - Draw an obtuse triangle and, by construction, find...Ch. 7.2 - Draw an acute triangle and, by construction, find...Ch. 7.2 - Draw an obtuse triangle and, by construction, find...Ch. 7.2 - Draw an acute triangle and, by construction, find...Ch. 7.2 - Draw an obtuse triangle and, by construction, find...Ch. 7.2 - Is the incenter always located in the interior of...Ch. 7.2 - Is the circumcenter always located in the interior...Ch. 7.2 - Find the length of the radius of the inscribed...Ch. 7.2 - Find the distance from the circumcenter to each...Ch. 7.2 - A triangle has angles measuring 30, 30, and 120....Ch. 7.2 - In MNP, medians MB, NA and PC intersect at...Ch. 7.2 - In MNP, medians MB, NA and PC intersect at...Ch. 7.2 - Given: Isosceles RST RS=RT=17andST=16. Medians RZ,...Ch. 7.2 - Given: Isosceles RST RS=RT=10andST=16. Medians RZ,...Ch. 7.2 - Draw a triangle. Construct its inscribed circle.Ch. 7.2 - Draw a triangle. Construct its circumscribed...Ch. 7.2 - For what type of triangle will be the incenter and...Ch. 7.2 - Does a rectangle have a an incenter? b a...Ch. 7.2 - Does a square have a an incenter? b a...Ch. 7.2 - Does a regular pentagon have a an incenter?.b a...Ch. 7.2 - Does a rhombus have a an incenter? b a...Ch. 7.2 - Does a isosceles trapezoid have a an incenter?.b a...Ch. 7.2 - In ABC, the bisectors of the angle are concurrent...Ch. 7.2 - In ABC, the altitudes are concurrent at point D....Ch. 7.2 - A distributing company plans an Illinois location...Ch. 7.2 - There are plans to locate a disaster response...Ch. 7.2 - A circle is inscribed in an isosceles triangle...Ch. 7.2 - For exercises 44 to 46, O is the inscribed circle...Ch. 7.2 - For exercises 44 to 46, O is the inscribed circle...Ch. 7.2 - For exercises 44 to 46, O is the inscribed circle...Ch. 7.3 - Describe, if possible, how you would inscribe a...Ch. 7.3 - What condition must be satisfied for it to be...Ch. 7.3 - Describe, if possible, how you would inscribe a...Ch. 7.3 - What condition must be satisfied for it to be...Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - Find the perimeter of a regular octagon if the...Ch. 7.3 - In a regular polygon with each side of length 6.5...Ch. 7.3 - If the perimeter of a regular dodecagon 12 sides...Ch. 7.3 - If the apothem of a square measures 5 cm, find the...Ch. 7.3 - Find the lengths of the apothem and the radius of...Ch. 7.3 - Find the lengths of the apothem and the radius of...Ch. 7.3 - Find the lengths of the side and the radius of an...Ch. 7.3 - Find the lengths of the side and the radius of a...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - Find the number of sides of a regular polygon that...Ch. 7.3 - Find the number of sides of a regular polygon that...Ch. 7.3 - Find the measure of each interior angle of a...Ch. 7.3 - Find the measure of each interior angle of a...Ch. 7.3 - Find the measure of each exterior angle of a...Ch. 7.3 - Find the measure of each exterior angle of a...Ch. 7.3 - Find the number of sides for a regular polygon in...Ch. 7.3 - Find the number of sides for a regular polygon in...Ch. 7.3 - Is there a regular polygon for which each central...Ch. 7.3 - If possible, draw an equilateral and concave: a...Ch. 7.3 - If possible, draw an equilateral and concave: a...Ch. 7.3 - Given regular hexagon ABCDEF with each side of...Ch. 7.3 - Given regular octagon RSTUVWXY with each side of...Ch. 7.3 - Given that RSTVQ is a regular pentagon and PQR is...Ch. 7.3 - Given: Regular pentagon RSTVQ with equilateral ...Ch. 7.3 - Given: Regular pentagon JKLMN not shown with...Ch. 7.3 - Is there a regular polygon with 8 diagonals? If...Ch. 7.3 - Is there a regular polygon with 12 diagonals? If...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - A regular polygon of n sides has an exterior angle...Ch. 7.3 - A regular polygon of n sides has an exterior angle...Ch. 7.3 - A regular polygon of n sides has an interior angle...Ch. 7.3 - A regular polygon of n sides has an interior angle...Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercise 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - Given: ABC with medians AE,CD,BF Find: a BG if...Ch. 7.CR - Given: ABC in Exercise 24 with medians AE,CD,BF...Ch. 7.CR - For a regular pentagon, find the measure of each a...Ch. 7.CR - For a regular decagon 10 sides, find the measure...Ch. 7.CR - In a regular polygon, each central angle measures...Ch. 7.CR - In a regular polygon, the apothem measures 3 in....Ch. 7.CR - Can a circle be circumscribed about each of the...Ch. 7.CR - Can a circle be inscribed in each of the following...Ch. 7.CR - The length of the radius of a circle inscribed in...Ch. 7.CR - The length of the radius of a circle inscribed in...Ch. 7.CR - Sketch the parabola that has directrix d and focus...Ch. 7.CT - Draw and describe the locus of points in the plane...Ch. 7.CT - Draw and describe the locus of points in the plane...Ch. 7.CT - Draw and describe the locus of points in the plane...Ch. 7.CT - Describe the locus of points in a plane that are...Ch. 7.CT - Describe the locus of points in space that are at...Ch. 7.CT - For a given triangle such as ABC, what word...Ch. 7.CT - For a given triangle such as ABC, what word...Ch. 7.CT - In what type of triangle are the angle bisectors,...Ch. 7.CT - Which of the following must be concurrent at an...Ch. 7.CT - Classify as true/false: aA circle can be inscribed...Ch. 7.CT - An equilateral triangle has a radius of length 3...Ch. 7.CT - For a regular pentagon, find the measure of each...Ch. 7.CT - The measure of each central angle of a regular...Ch. 7.CT - For a regular octagon, the length of the apothem...Ch. 7.CT - For a regular hexagon ABCDEF, the length of side...Ch. 7.CT - For rectangle MNPQ, points A, B, C and D are the...Ch. 7.CT - Sketch the parabola that has directrix d and focus...

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