Answered: Find the lengths of the side and the…

Math

Geometry

Find the lengths of the side and the radius of a regular hexagon whose apothem has the length 10 m.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter7: Locus And Concurrence

Section7.3: More About Regular Polygons

Problem 16E: Find the lengths of the side and the radius of a regular hexagon whose apothem has the length 10 m.

See similar textbooks

Related questions

Q: Find the area of a regular pentagon with an apothem of 3.45 in. and a side of 5 in.

Q: - The cuboid (right) has one of its corners removed to leave a flat triangle BDC. Calculate: a…

A: We draw lines as shown in the figure below Here lines XC and HG are parallel and equal. So XC = 5…

Q: Find the dihedral angle formed by any two adjacent faces of a regular octahedron if one edge is…

A: A regular octahedron is composed of eight equilateral triangles, four of which meet at the vertex.…

Q: Find the perimeter and area of a regular hexagon with apothem V3 cm.

A: Given apothem of a regular hexagon is 3 cm. To find the perimeter and area of a regular hexagon.…

Q: On a certain youth league baseball diamond,the bases are 35ft apart.Assuming that homeplate and the…

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothens? Of…

Q: Find the area of an isosceles trapezoid with legs 7 and bases 11 and 21.

A: Consider the isosceles trapezoid ABCD.

Q: Two chords of a circle measuring 40 m and 68 m are perpendicular to each other. If the 68-m chord…

A: Topic - circles

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: What is the length of the apothem of the regular hexagon shown be- low?

Q: For the polyhedron, use Euler's Formula to find the missing number.

A: Euler's formula states that The number of vertices V, faces F, and edges E in a convex 3-dimensional…

Q: The apothem length of a regular pentagon is approximately 3.44 cm. What is the approximate length of…

A: For a regular polygon with n sides, with side length s, length of apothem is given by a=s2 tan πn.…

Q: SoH COH TOA D Chord AB is 5 inches away from the center of OP which has a circumference of 26n in.

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

A: Consider the square: Here AB= BC = CD = DA = 10 in OE = EB = 5 in. Where O is the center.

Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 9 and…

Q: a quadrilateral is inscribed in a circle such that one of its sides coincides with the diameter. If…

Q: Given a hexagon with side length of 35, find the apothem. Round to the nearest hundredth if…

A: Explained below...

Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the side of the base.

Q: For the regular square pyramid shown, each base edge is 10 cm long. If the pyramid has an altitude…

Q: Find the length of the apothem drawn to one of the 6-in. sides of a regular pentagon.

A: Given, 6 inches sides of a regular pentagon Formula:- Length of an apothem a = s2 tan 180n a =…

Q: A rhombus has sides that measure 4ft. each. If its smaller angle measures 40°,how long would be the…

A: For a rhombus, the diagonals are: The angle bisectors. Perpendicular to each other. Bisect each…

Q: Given step by step instructions and the final answer on how to find the volume of a right square…

A: It is given that, slant height of a right square pyramid is 5 in and length of base is 4 in. The…

Q: Find the distance from the circumcenter to each vertex of an equilateral triangle whose sides have…

A: The sides of the equilateral triangle is given to be 10. From figure, A, B and C are the vertices…

Q: Find the area and the perimeter of a rhombus whose diagonals have lengths 18 in. and 24 in.

A: Given that the diagonal of rhombus is 18 in and 24 in To sketch the rhombus, Let “ABCD” be a…

Q: Find the area of an isosceles trapezoid with legs 5 and bases 4 and 12.

A: Given- An isosceles trapezoid with legs 5 and bases 4 and 12. To find- The area of the isosceles…

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 5 and…

Q: The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the corresponding sides of two regular pentagons are 2 in. and 7 in.

Q: For a regular octagon, the length of the apo- them is approximately 12 cm and the length of the…

Q: A regular triangular pyramid, the length of its edge is 3, the height of the pyramid?

A: given length of edge=3 let s=3 height(h)=s23

Q: If the diagnosis of a rhombus are 1.7 AM and 50 cm long find the area of the rhombus in square…

A: Area of rhombus = 0.00425 m^2

Q: Two regular hexagons have sides of 2 and 4 What is the ratio of their perimeters? What is the ratio…

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: A circle has a radius of 10 cm. How far from the center is a chord that is 7 cm long?

Q: three post are set in level ground in such a manner that their bases form an equilateral triangle…

A: SOLUTION-

Q: If a regular hexagon has a side of 5 cm, then determine: a) measure of the radius of the…

A: Given side of regular hexagon is s=5 cm (a) Since radius and side of the regular hexagon is equal.…

Q: Which of the triangles below would have the smallest incircle?

A: Circle inscribed in a triangle and touching all the sides are called incircle of that triangle.

Q: Find the radius of a circle inscribed in a rhombus whose perimeter is 100 inches and whose longer…

A: GivenPerimeter of a rhombus=100 inchesCircle is inscribed in…

Q: find the total area of a regular triangular pyramid if each side of the base is 12 ft. and slant…

A: Let's find total area.

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothems? Of…

Q: Find the area of an equilateral triangle with an apothem having a length of 4 feet. Round to the…

A: The area of equilateral triangle with an apothem having a length of 4 feet is 83.1 feet2 The answer…

Q: A hexagon with all sides equal to one another and all angles equal to one another can make a regular…

A: To check whether we can make regular tessellation or not?

Q: Find the length of a chord that is 3 cm from the center of a circle withradius 7 cm.

A: Radius of the circle is 7 cm and the chord is at a distance of 3 cm from the center of the circle.…

Q: A drawbridge that is 178 feet in length is raised at its midpoint so that the uppermost points are…

A: Let us draw the image in following way: We will apply Pythagoras theorem to find the height of the…

Q: What is the length of the apothem of the regular pentagon shown be- low? Round to one decimal place.…

Q: Find the length (cm) of a common chord of two circles of radii 25 cm and 26 cm respectively, if the…

Q: Given a hexagon with side length of 29, find the apothem. Round to the nearest hundredth if…

Q: The radius of a square is 2 in. Find the perimeter, apothem, and area of the square.

Q: The apothem of a regular hexagon is 5/3 in. What is the length of its sides? What is its area?…

Q: For a regular pentagon, the length of the apothem is 12 in. Find the length of the pentagon's radius…

A: Given: Apothem of a regular pentagon is, a=12 inches. The objective is to find the length of the…

Question

Find the lengths of the side and the radius of a regular
hexagon whose apothem has the length 10 m.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the lengths of the apothem and the radius of a regular hexagon whose sides have length 6 cm.
Find the lengths of the apothem and the radius of a square whose sides have length 10 in.
Find the distance from the circumcenter to each vertex of an equilateral triangle whose sides have the length 10.
For a regular hexagon, the length of the apothem is 10 cm. Find the length of the radius for the circumscribed circle for this hexagon.
For a regular octagon, the length of the apothem is approximately 12 cm and the length of the radius is approximately 13 cm. To the nearest centimeter, find the perimeter of the regular octagon.
A baseball diamond is really a square with sides of 90 feet. How far is it from home plate to second base, as shown?
In the circle, the radius length is 10 in. and the length of AB is 14 in. What is the perimeter of the shaded sector?
In the illustration, point M is the midpoint of the hypotenuse of right triangle AOB. Show that the area of rectangle OLMN is one-half of the area of triangle AOB.
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.
When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?
Find the perimeter of a regular octagon if the length of each side is 3.4 in.