Answered: Given a Regular pentagon with side…

Given a Regular pentagon with side length of 6 ft, find the Area by finding the following, what is the central angle used to solve the problem [ Select ]

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 34E: Given: Regular pentagon JKLMN not shown with diagonals LNandKN. Find: mLNK

See similar textbooks

Related questions

Q: The diameter of a circle is 6 in. Find its area to the nearest tenth. Answer: A = in?

A: Formula: Radius of the circle =12Diameter of the circle It is given that the diameter of the circle…

Q: Find the ratio between the two perime- ters, the two areas, and two correspond- ing apothems of two…

Q: In a triangle whose area is 72 in?, the base has a length of 8 in. Find the length of the…

A: To find: The length of corresponding altitude of the triangle. Given: The area of triangle is 72…

Q: In a circle with the radius 3cm, on its chord 4cm long taken as a diameter constructed is another…

Q: A water storage tank is an upside-down cone, as top is 12 feet and the length of the sloping side is…

A: By using Pythagoras theorem and volume of a cone formula, we calculate the required volume.

Q: This figure is formed by a square and an isosceles trapezoid. 4 In. 5 in. 10 in. What is the…

A: To find the perimeter

Q: Your neighbor's yard is in the shape of a triangle, with dimensions 120 ft, 84 ft, and 85 ft. Is the…

A: Given yard is in the shape of triangle, with the dimensions 120 ft, 84 ft and 85 ft.

Q: The heights of two right prisms are 18 ft and 30 ft. The bases are squareswith sides 8 ft and 15 ft,…

A: Given, The heights of two right prisms are 18 ft and 30 ft. The bases are squareswith sides 8 ft and…

Q: Given the area of a sector that subtended by angle of 60° is 6t cm. Find the radius of the circle.

Q: given a cube whose edge is a cm find 1- the angle between the digonal of the cube and the digonal…

A: Consider this picture for ease of understanding.

Q: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

A: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

Q: The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in². What…

A: given: the approximate area of a triangle with sides of lengths 3in. , 5in. ,and 6 in. is 7.48 in.2…

Q: what is the scale factor of the dilation if the pre-image of triangle ABC has the side length AB of…

A: Given Data: The length of side AB of pre-image triangle ABC is: AB=10 cm The length of side A'B' of…

Q: Consider a 72° angle inscribed in the centre of a circle with radius 10cm. (a) What is the length of…

Q: Based on the image attached, it shows a quadrilateral ABCD such that ∠ABC is acute. Calculate, ai)…

A: We will solve for part a) ∠ABC ∠ADC Area of quadrilateral ABCD

Q: Given regular pentagon RSTVQ and equilateral triangle PQR, the length of an apothem (not shown) of…

Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We will find the smallest possible length of one of the 2 congruent sides as following.

Q: .) A regular pentagon has a radius of 8 ft area?

A: The radius of a regular pentagon r= 8 ft.

Q: The two ends of this triangular right prism are equilateral triangles. The measurements are given to…

A: S = The Surface area of the given prism T = The surface of the equilateral triangleR = The surface…

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

Q: An isosceles triangle has a base with length 17 inches and two congruent sides with lengths of 12…

A: Given: The base length of the isosceles triangle is 17 inches and the length of two congruent sides…

Q: A triangle has a perimeter of 40 and area of 60. Using A = 1/2rP, find the length of radius r for…

A: Given data: P=40 A=60

Q: 2.) Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long.…

A: We can find the area as below.

Q: The cross section of a silo is composed of an equilateral triangle, a square, a trapezoid and a…

Q: What is the formula for the circumference C of a circle ofradius r? What is the formula for the area…

A: The formula for the circumference C of a circle of radius 'r' is given as follows - C = 2πr

Q: Determine the area of the segment of a circle if the length of the chord is 15 inches and located 5…

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We are asked to find the missing sides of the triangle.

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: A regular pentagon has an apothem measuring 3 cm What is the area of the pentagon, rounded to the…

Q: An arc with a measure of 72o has an arc length of 6pi. What is the length of the radius of the…

Q: A circle is dividedinto two parts by a chord, 3 cm away from the center. Find the area of the…

A: We know Area of circle = πr2 r = radius of circle we use Trigonometry ratios sin(Θ) =…

Q: An isosceles trapezoid has base angles of 45 degrees and a perimeter L (Figure 19a). What is the…

Q: In circle E, AB || CD and BC is a diameter. OE 17. If m AC =4x-5 and mBD= 2(x+20), what is mZABC?…

Q: A rectangle is the polygon whose formula for area is most similar to that of a parallelogram. O True…

A: Topic:- parallelogram and rectangle

Q: What is the distance along the diagonal of the rectangular prism with length of 8 cm, width of 11…

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: An isosceles triangle has an area of 29 cm², and the angle between the two equal sides is 5x/6. Find…

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

Q: The circle has center 0. Its radius is 8 m, and the central angle a measures 130°. What is the area…

A: In this we have used area of sector= πr2theta/360

Q: If the pyramids below are similar, what is the ratio of the surface area?

Q: What is the size of each interior angle (in degrees) for a 14-sided regular polygon? Round your…

Q: A regular pentagon has an apothem of approximately 3.1 yd and a perimeter of approximately 22.5 yd.…

A: A regular pentagon has an apothem of approximately 3.1 yd and a perimeter of approximately 22.5…

Q: A 30-inch chord in a circle is 8 inches frorm the center of the circle, as shown in the following…

A: Answer

Q: The orthocenter is always located inside which of the following types of triangles? O Acute…

Q: In circle E, AB || CD and BC is a diameter. OE 17. If m AC =4x-5 and mBD=2(x+20), what is mZABC? %3D…

A: We know that the arc measure is equal to the corresponding central angle measures in radians Also…

Q: 8. Find the missing side of a right triangle if A. Area = 20 cm?, height = 10 cm %3D B. Area = 46…

Q: Find the missing length A = 492 in? * %3D 13 in. i 12 in. 3 ft Your answer The diagonals of a…

Q: A funnel used to pour oil into an engine is in the shape of a cone. The sides of the cone are 15cm…

Q: We want to build an isosceles triangle with a height of 3 cm and a perimeter of exactly 10 cm. What…

Question

Given a Regular pentagon with side
length of 6 ft, find the Area by
finding the following, what is the
central angle used to solve the
problem
[ Select ]

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

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

The length of each side of a regular hexagon measures 6in. Find the area of the inscribed regular hexagram shaded in the figure.
If AC is a diameter of O, find the area of the shaded triangle. Exercise 17
Compute the area of the pattern shown. Round the answer to the nearest square centimeter.
In terms of the apothem a and length of side s of the smaller regular pentagon, find an expression for the shaded area.
An exit ramp from one freeway to another freeway forms a 900 arc of a circle. The ramp is scheduled for resurfacing. As shown, its inside radius is 370 ft, and its outside radius is 380 ft. What is the area of the ramp to the nearest integer?
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.
Given: Regular pentagon JKLMN not shown with diagonals LNandKN. Find: mLNK
A section of a piece of round stock with a V-groove cut is shown. Find the sectional area of the stock. Round the answer to the nearest square millimeter.