ABCDE is a regular pentagon. What is the length of the apothem?Round to the nearest hundredth.BAC2 cmEDTo begin this problem you must first draw a righttriangle.To begin this problem you must firsttype your answer...The next step is to find thetype your answer...by using the formulatype your answer...and then divide the result of your degree bytype your answer...The third step is to use trigonometry to find theapothem by usingtype your answer...Round your answer to two decimal places andthe length of the apothem will be approximatelytype your answer...cm.

The regular pentagon is shown as,Radius, r = 2cm

Answered: ABCDE is a regular pentagon. What is…

Math

Geometry

ABCDE is a regular pentagon. What is the length of the apothem? Round to the nearest hundredth. B A 2 ст, E D

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter9: Roots And Radicals

Section9.4: Multiply Square Roots

Problem 311E: An artist wants to make a small monument in the shape of a square base topped by a right triangle,...

See similar textbooks

Related questions

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

A: The given regular pentagon is: We have to find value of a. We know the formula of the apothem of…

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

Q: Use Heron's Formula to find the exact area of a triangle that has lengths of sides 4 cm, 13 cm, and…

A: Given: The lengths of sides of a triangle are 4 cm, 13 cm, 15 cm. The area of the triangle can be…

Q: The polygons in each pair are similar. Find the missing side length. 25 30 36 O 47 O7 O 49 O 30

A: SOLUTION-

Q: Find the number of sides of a regular polygon that has a central angle measuring a) 90°. c) 60°. d)…

A: We have to find number of sides of a regular polygon that has a measure of central angle: a) 90°…

Q: If the area of the circle is 25TT cm², what is the length of diagonal AD? a. 5V2 cm b. 5V2n cm c.…

Q: Given the following regular pentagon, what is the length of the apothem, a? A= 5.535 1.8 90°

Q: In the circle below, segment AB is a diameter. If the length of arc ACB is 67, what is the length of…

Q: Given the following regular pentagon, what is the length of the apothem, a? 1.8 A= 5.535 90° a

A: Let's find.

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: Find the measure of a central angle of a regular polygon of a) 8 sides. c) 9 sides. b) 10 sides. d)…

A: To find the measure of a central angle of a regular polygon of given sides: (a) 8 sides (b) 10…

Q: Find the area of a pentagon with an apothem of 7.3 and a side length of 10.6.

Q: Find the measure of each interior angle of a regular polygon whose central angle measures a) 40°. b)…

A: The measure of a central angle of a regular n-sided polygon is given by the formula: x=360°n, where…

Q: A regular pentagon is inscribed in a circle whose radius is 18cm. Find the perimeter of the…

A: Perimeter = sum of all sides of pentagon

Q: In a ABC triangle If a=5 m, b=7 m, c=8 m, find the area of the triangle

Q: Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3 cm. O A.…

A: The regular pentagon has apothem 24.3 cm and the side length of 35.3 cm So, the perimeter of the…

Q: Each interior angle of a regular polygon is 156°. How many sides does it have? a) O 15 b) О 17 c) O…

A: Answer and explanation is given below..

Q: If AC is a diameter of ©0, find the area of the shaded triangle. A 8 4 4 7

A: the given figure is: we have to find the area of the shaded triangle.

Q: In circle O, AC is a diameter. The m<BAC = 3x + 2 and m<BCA = 5x, %3D find the m< BẠC. A C

A: given,

Q: If m/B = 25°, find mLAPC if BC is the diameter. ||

A: This question is related to Circles, we will solve it using given information.

Q: ABCD is an inscribed quadrilateral and AB: BC: CD:DA = 3: 2: 2: 3. a. Find the measures of the four…

Q: In the figure below, chord FG has a length of 12 and triangle GOH has an area of 24. What is the…

A: Given:

Q: Consider a right triangle with leg OA = L, where L > 0, and angle OÂB Find 6 the area of the largest…

A: hello greetings from bartlaby.i am here to help you

Q: Vhat is the measurement of the apothem of a regular decagon with side 30 m?

A: We have to find out

Q: Does a regular pentagon have (a) an incenter? (b) a circumcenter?

A: A regular pentagon has 5 vertices, 5 equal sides and 5 equal angles. A regular pentagon have an…

Q: A regular pentagon has a side of approximately 3.0 yd and an apothem of approximately 2.1 yd. Find…

A: hello greetings from bartelby.i am here to help you.

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

Q: an you find the apothem, Perimeter, and Area? * Calculate the apothem, Perimeter, and Area of the…

A: We have to find area

Q: C. In circle D, AB is a diameter. Do 13. If mZADC=3x+10 and mBC = 2x - 30, what is mAC? %3D

A: Q13 Given that m∠ADC=3x+10 diameter, AB is 3x+10 Therefore radius AD=BD=DC=AC=2x-302 it means the…

Q: 16.ZBCD

A: Find the ∠BCDmeasures of rhombus ABCD. Round to the nearest tenth.

Q: Supposed that an isosceles right triangle is inscribed in a semi-circle of radius 7 cm. What is the…

A: Area of a semicircle with radius= πr²/2 square units. Area of a right triangle =base*height/2 square…

Q: Determine the radius of the regular polygon. A regular equilateral A with an apothem of 5 cm. r =

Q: Each interior angle of a regular polygon is 140°. How many sides does it have? a) O 10 b) 08 c) 07…

Q: The radius of a regular hexagon is 8 cm Find the apothem, perimeter and area of the regular hexagon.…

Q: Find the area of the portion of the semi-circle shown in the figure which is outside of the…

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: Given that Segment BA is a diameter, find x. (3х - 2) C (6x + 20)° 52 18 128 8.

A: From the given question : BA is diameter. Therefore, ∠APC+∠CPB=180°. It is also given that :…

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: Given that a circle with a diameter of 10 cm has a chord that is 6 cm long. What is the distance…

A: Given : A circle with diameter 10 cm has a chord that is 6 cm long. To find the distance that…

Q: A pentagon with sides 3 m. 4 m. 5 m. 6 m. and 7 m has area 48 m2 Find the perimeter of a similar…

A: A pentagon is a polygon with five sides and five angles. Perimeter of a polygon equal to sum of…

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

Q: Find the surface area of the pyramid. The side lengths of the base are equa 14 in. 6.9 in. 8 in.

A: find the surface area of the base A1=12·base length ·height A1=12·8·6.9 A1=4·6.9 A1=27.6

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…

Q: Each dashed segment in the figure below is the diameter of a semicircle. 7 in. 14 in. What is the…

A: The explanation of answer as follows

Q: Given a regular octagon, what are the measures of the angles formed by (a) two consecutive radii and…

Q: In triangle ABC, M is the midpoint of the side AB and N is the midpoint of the side AC. Find the…

Q: Find the measure of a central angle of a regular polygon of a) 3 sides. c) 5 sides. d) 6 sides. b) 4…

Question

ABCDE is a regular pentagon. What is the length of the apothem?
Round to the nearest hundredth.
B
A
C
2 cm
E
D
To begin this problem you must first draw a right
triangle.
To begin this problem you must first
type your answer...
The next step is to find the
type your answer...
by using the formula
type your answer...
and then divide the result of your degree by
type your answer...
The third step is to use trigonometry to find the
apothem by using
type your answer...
Round your answer to two decimal places and
the length of the apothem will be approximately
type your answer...
cm.

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: Given

VIEW

Step 2: Solving for Apothem

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 12 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

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

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
A landscaper wants to put a square reflecting pool next to a triangular deck, as shown below. The triangular deck is a right triangle, with legs of length 9 feet and 11 feet, and the pool will be adjacent to the hypotenuse. (a) Use the Pythagorean Theorem to find the length of a side of the pool. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the pool.
? ABC is similar to ? XYZ. Find the length of side c.
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
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?
It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and h is given by d=l2+w2+h2. Use this formula to find the length of the diagonal when l=12in., w=4in., and h=3in.
An artist wants to make a small monument in the shape of a square base topped by a right triangle, as shown below. The square base will be adjacent to one leg of the triangle. The other leg of the triangle will measure 2 feet and the hypotenuse will be 5 feet. (a) Use the Pythagorean Theorem to find the length of a side of the square base. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the face of the square base.
Find the area of an equilateral triangle with apothem a = 3.2 cm and perimeter P=19.23 cm.