Answered: A regular pentagon has an apothem of…

A regular pentagon has an apothem of length 4.0 in. and each side is of length 5.8 in. For the regular pentagon, find its: a) Perimeter b) Area

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter8: Areas Of Polygons And Circles

Section8.3: Regular Polygons And Area

Problem 32E: In terms of the apothem a and length of side s of the smaller regular pentagon, find an expression...

See similar textbooks

Related questions

Q: Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm. 4 cm 5 cm 5…

A: Given : Side length(b) is 5 cm Slant height(l) is 4 cm To find : The surface area of…

Q: Find the area of a regular pentagon with an apothem of 5 inches. Round to the nearest tenth

Q: 4. Find the volume of a three-sided pyramid with height h and base an equilateral triangle with side…

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

A: A regular square pyramid is shown below. From above figure, the dimension of edge of base is x. The…

Q: In a regular square pyramid whose base edges measure 8 in., the apothem of the base measures 4 in.…

Q: Find the volume of a regular square pyramid shown if each edge of the base measures 8ft. and the…

A: Volume = 1/3 * B * H B= area of the Base H= height ( altitude ) of the pyramid Given : b= 8 ft and…

Q: Find the volume of a pyra base is 18.2 in and the he to the nearest tenth of a c Answer:

A: Volume of a square pyramid=1/3b2h

Q: Find the length of each apothem in a regular pentagon whose radii measure 10 in. each.

A: Apothem of a polygon is a line segment from the centre of a regular polygon to the midpoint of any…

Q: In the regular pentagonal pyramid, each base edge measures 9.2 cm and the apothem of the base…

Q: A square pyramid is on top of a square prism.Their bases are congruent.How many faces,vertices,and…

A: We have a square pyramid on top of a square prism. Now, a square pyramid has 5 faces, 8 edges and 5…

Q: A regular polygon has 7 sides, each measuring 12.5 m. If a circle is inscribed in the polygon,…

Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…

Q: Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack?

Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base…

A: Introduction: The lateral surface area of a right triangular prism is given by, LSA=perimeter of…

Q: A triangle with sides of lengths 3 in., 4 in., and 5 in. has an area of 6 in². What is the length of…

A: given: A triangle with sides of lengths 3in. ,4in. , and 5 in. has an area of 6 in.2 we have to…

Q: Find the total surface area of the following regular triangular pyramid with a height of 5 cm and a…

Q: In a regular polygon, the apothem measures 3 in. Each side of the same regular polygon measures 6…

A: Given: In a regular polygon, the apothem measures 3 in. and each side is 6 in. To find: (a) The…

Q: Given a square pyramid with the base edge of 10 m. and slant height of 6 m. Find the measure of the…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 9 in. and that…

A: Given, Length of base edge (b) = 9 in Altitude of prism (h) = 10 in Apothem of the base = 6.2 in

Q: Given regular pentagon ABCDE with side length of 10 cm. Find: a. the apothem b. the area

Q: Find the area of a square with the sides of length 3.5 cm each and with an apothem of length 4.7 in.

A: We have to find area of two square.

Q: In a regular pentagonal pyramid, each base edge measures 7 cm, and the apothem of the base measures…

A: Given Data: The base length of the pentagonal pyramid is: a=7 cm. The length of the apothem of the…

Q: Three pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?

A: Consider the figure with three circle of radius r=4 in. stacked together. Find the height of the…

Q: A regular pentagon has an apothem of length 4.0 in. and each side is of length s = 5.8 in. For the…

A: Known fact: Area of regular polygon is given by A=12×perimeter×apothem.

Q: What is the area of a regular octagon with an apothem of 20.8 cm and a side length of 17.2 cm? O…

A: Solved given problem follow step below.

Q: For the regular square pyramid shown, find the total number of a) vertices. b) lateral faces. 6 t 6…

A: We are given a regular square pyramid in the given figure. We have to find total number of vertices…

Q: What is the surface area of a regular pentagonal pyramid with base side length of 8 cm, apothem of…

Q: In a regular polygon, each central angle measures 45°. a) How many sides does the regular polygon…

A: For a regular polygon: Measure of each central angle= 45° a) Sides does…

Q: In the regular pentagonal pyramid, each lateral edge measures 8 in., and each base edge measures 6…

A: Area of a pentagon is: Area=52×Apothem×Base side Area of a triangle using Heron's formula:…

Q: A regular polygon has a perimeter of 200cm and each of its inte s apothem, its area, and the total…

A: Introduction: The formula of a regular octagon is given by, A=21+2a2 Where a is the side length of…

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in and that…

A: A triangular prism is a 3-sided prism. Given that, each of the bases of a triangular prism has an…

Q: In a regular hexagonal pyramid whose base edges measure 2V3 in., the apothem of the base measures 3…

A: the apothem of the base is BC=3 inches the slant height of the pyramid is AC=5 inches…

Q: 25. What is the approximate area of a regular pentagon with apothem length 6.3 cm and each base edge…

Q: Find the surface area of a square pyramid with side length 5 cm and slant height 6 cm. 6 cm 5 cm 5…

A: A pyramid which has square base is called square pyramid. The surface area of the square pyramid is…

Q: calculate the apothem, area of the base, and surface area of a hexagonal prism with a side length of…

A: Regular Hexagonal prism has length of edge a=4 cm and height h=12 cm (1) Base area : AB=33a22…

Q: 19 in What is the volume of a triangular pyramid that is 9 inches tall and has a base area of 18…

A: As the area of base = 18 in2 Height of the pyramid = 9 in

Q: Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of how many…

A: Using formula

Q: Find the area of a regular pentagon with an apothem of 1.6 in and a side length of 2.4 in.

A: A regular pentagon with an apothem of 1.6 in and a side length of 2.4 in.

Q: Find the apothem, in millimeters, and area, in square millimeters, of a regular pentagon with side…

Q: A regular octagon has an apothem of approximately 4.2 cm and a perimeter of approximately 28.0 cm.…

A: Area of regular octagon in terms of apothem and perimeter is given as Area=12×apothem×perimeter

Q: A regular pentagon has an apothem of length 4.0 in. and each side is of length 5.8 in. For the…

A: Given: Length of apothem of regular pentagon is 4.0 in. and length of each side is 5.8 in. To find:…

Q: Consider the accompanying figure. When the four congru- ent isosceles triangles are folded upward, a…

A: The given figure:

Q: What is the area of a regular octagon with an apothem of 9.3 cm and a side length of 7.7 cm? O…

Q: Find the surface area of a square pyramid with side length 18 in and height 12 in

A: We can find the surface area as below.

Q: Congruent triangles are cut out of a square piece of paper 20 cm on a side, leaving a starlike…

A: Given that congruent triangles are cut out of a square having its side 20 cm. Let l be the length as…

Q: Get the LSA, given that the heights of the tallest and shortest elements of the truncated right…

Q: Three pipes, each of radius length 4 in., are stacked as shown. What is the exact height of the…

A: Consider the given figure as

Q: 25 in. 24 in

A: Given the dimensions of pentagonal pyramid

Q: 25 in. 24 in. 15 in.

A: Formula of Lateral area, AL=12×PB×HS For pentagonal pyramid, PB=5a HS=h2+1205+25a2

Q: Find the surface area of a square pyramid with side length 2 mi and slant height 4 mi. 4 mi 2 mi 2…

A: The surface area of the square pyramid can be calculated by using formula, S.A=a2+2al , where a is…

Question

A regular pentagon has an apothem of length 4.0 in. and each side is of length 5.8 in. For the regular pentagon, find its:

a) Perimeter

b) Area

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pyramids$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

In 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.
For Exercise 45 to 47, consider the oblique regular pentagonal prism shown. Each side of the base measures 12 cm, and the altitude measures 12 cm. Find the total area of the prism.
In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 ft long by 36 ft wide by 9 ft deep. How many cubic yards of dirt were removed?
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 = 6.5 in. and each side of length s = 9.4 in.
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 octagon with an apothem of length a = 9.8 in. and each side of length s = 8.1 in.
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.
For compactness, the drop-down wheels of a stretcher or gurney are folded under it as shown. In order for the boards upper surface to be parallel to the ground when the wheels are dropped, what relationship must exist between AB and CD?
In Exercises 17 to 30, use the formula A=12aP 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 an apothem of length 15 cm, find the approximate area.
In Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. In a regular dodecagon 12 sides, the approximate ratio of the length of an apothem to the length of a side is 15:8. For a regular dodecagon with an apothem of length 12 ft, find the approximate area.
In Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the area of a square whose apothem measures 5 cm.
In Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. In a regular dodecagon 12 sides, the approximate ratio of the length of an apothem to the length of a side is 15:8. For a regular dodecagon with a side of length 12 ft, find the approximate area.
In terms of the apothem a and length of side s of the smaller regular pentagon, find an expression for the shaded area.