Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

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25.) The area formula for a regular

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In a particular type of regular polygon, the length of the apothem is exactly one-half the length of a side. What type of regular polygon is it?

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A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?

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Find the lengths of the apothem and the radius of a square whose sides have length 10 in.

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If the area (A=12aP) and the perimeter of a regular polygon are numerically equal, find the length of the apothem of the regular polygon.

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Find the lengths of the apothem and the radius of a regular hexagon whose sides have length 6 cm.

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Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the planes containing EJF and KJF is larger than 180 .

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a Given that the polygon shown has six congruent angles, this polygon is known as an __________ _________ b What is the measure of each of the congruent interior angles?

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A circle is inscribed in an isosceles triangle with legs of length 10 in. and a base of length 12 in. Find the length of the radius of the inscribed circle.

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If the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?

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a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?

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Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.

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The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.

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