Exercises deal with a regular
a.Show that the perimeter P of a regular circumscribed n-gon about a
b.What is the circumference of a circle of radius
c.Calculate A in part (a) with
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- In Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the area of a regular pentagon with an apothem of length a = 5.2 cm and each side of length s = 7.5 cm.arrow_forwardThe center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forwardA 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.arrow_forward
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- Find the exact perimeter and area of the segment shown, given that mO=600 and OA=12 in.arrow_forwardUse a two-column proof to prove the following theorem: The lengths of the corresponding altitudes of similar triangles have the same ratio as lengths of any pair of corresponding sides. Given: DEFMNP; DG and MQ are altitudes Prove: DGMQ=DEMNarrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the approximate area of a regular pentagon whose apothem measures 6 in. and each of whose sides measures approximately 8.9 in.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL