Answered: What is the formula for finding the…

What is the formula for finding the area of a regular polygon with perimeter P and apothem length a? A. a = 2PA B. A = ¹/2 (Pa)

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 15E: Find the area of an equilateral triangle with apothem a = 4.6 in. and perimeter P=27.63 in.

See similar textbooks

Related questions

Q: Two triangles that have three pairs of proportional sides are always similar. Identify the ratios of…

A: If the ratio of the three pairs of the corresponding sides of two triangles are same, the triangles…

Q: The point-slope form of a line is y+y₁ = m(x + x₁), where mis the slope and (x₁, y₁) is a point on…

Q: A pole that is 2.9 m tall casts a shadow that is 1.23 m long. At the same time, a nearby building…

A: Here we use the trigonometric ratio,As weknow that tanθ=HeightBase

Q: What is the area of a sector of a circle with a central angle of measure 90° and whose diameter is…

Q: In a right triangle, suppose the longest side is 8 m, and the shortest side is 2 m, as shown to the…

A: In the right triangle,longest side is 8m and the shortest side is 2mwe have to find the length of…

Q: Given the incomplete proof below, what is the missing reason for the statement in step 4? Given:…

A: Given.

Q: The shape below contains a rectangle and four semi-circles. O 5 8 Round your responses to two…

A: We have to find perimeter and area of the given shape.

Q: Question 2 of 10 If A = (9, 18) and B = (1, 12), what is the length of AB? O A. 11 units OB. 12…

Q: Library > rces s Tools -6: F1 2 S In each of the following figures, find the measure of the marked…

Q: Jimmy needs to know how tall one of his trees is before he calls the tree removal company. He knows…

A: Draw a schematic diagram of given question.

Q: What is the special name for the segment that connects the center of a regular polygon to an outer…

A: Consider

Q: 1. What is the value of x? 18 6.2 19.5 10 28 X 10

Q: Look at the diagram. I Which term describes HJ? angle bisector perpendicular bisector K H altitude…

Q: a 450 Suppose c = 3 a = b b Note: Triangle may not be drawn to scale. с Find exact values for the…

A: The right triangle has measures c=3, θ=45°

Q: The Pythagorean theorem is derived from the distance formula. O A. True OB. False

A: Given problem:- The Pythagorean theorem is derived from the distance formula. A. True B. False

Q: If you can show me what this image looks like translated down and reflected horizontally, it'd help…

Q: 18. Given B is the midpoint of AE, AC || DE Prove AABC = AEBD A C B D E

Q: Solve for the area of the figure below. Show your work and explain the steps you used to solve. +84…

A: Solve the following

Q: The formula for area of a triangle works for acute and right triangles, but not for obtuse…

Q: Evelyn is an athletic director and it's her job to design the cross-country course for this season.…

Q: Question 1 of 10 What is the area of the obtuse triangle given below? 16 O A. 64 A. 64 sq. units OB.…

Q: What is the midpoint of the segment shown below? -10 10 (-1,2), -10- (7,3) ++++ 10 O A. (6,5) O B.…

A: This question can be solved using the concept of mid point.

Q: Question 7 of 10 What is the area of the triangle given below? 13 1 41 A. 17 sq. units B. 26 sq.…

A: Find the area of triangle

Q: Determine the measures of the angles using the diagram below. e//m m2 1: 2: 3: 4: 34/278 3 4

A: From the given figure, we have to find the measures of required angles

Q: A I= D B If angle A measures 4x + 125 degrees, and angle D is 7x degrees, what is ï?

Q: Jina is planning to texture-coat a building whose dimensions are shown below. The front of the…

A: Given that:- Dimension of front window = 6ftx32in Door= 8ftx42in Windows of left and right= 18ftx4ft…

Q: Which equation represents the slope-intercept form of the line below? y-intercept = (0,8) slope = 1…

Q: Question 1 of 10 What is the midpoint of the segment shown below? 10 (-3, 4) -10 (-6,-1) -10 10 O A.…

Q: Find the measure of the central angle of the sector with the given radius and area. answer to the…

A: Find the angle and radius for given question.

Q: Solve for the value of x in the diagram below. After finding the x value identify for the other…

A: We can answer the question as below.

Q: . If a point P is moving such that the lengths of tangents drawn from P to the circles x² + y² +8x…

Q: A liner equation is an equation whose graph is a straight line

A: True

Q: A coral reef grows 0.18 m every week. How much does it grow in 8 weeks? Write your answer in…

A: Given :A coral reef grows every week = 0.18 m

Q: Question 9 of 10 The equation y = ax describes the graph of a line. If the value of a is positive,…

Q: Organize a list of all the congruent corresponding sides and angles for the following set of…

A: Given,

Q: B 36° D 27° A E LL F B. 1. mzBEF = 2. m/BEC = 3. m FAB = 4. m BD 5. m CD 6. m2BED=

Q: NTS 7. Triangle LMN is an isosceles triangle with LMLN. What is the measure of <LMN? L M 77° 46° E…

Q: Determine if the following lines are parallel (never intersect), perpendicular (intersect at a 90…

A: We are asked to find the given lines are intersecting or parallel or coinciding.

Q: 1. Given (ACBD)=-1. The perpendiculars to CD at the points C,D meet a transversal through A in P,Q.…

Q: Question 8 of 10 If A = (-1, -3) and B = (11, -8), what is the length of AB? OA. 14 units OB. 12…

Q: 1. Find m/KMN. 81° (13x+36) M

Q: Question 8 of 10 What is the area of the triangle below? 13 10 A. 130 sq. units OB. 46 sq. units OC.…

A: Here is the solution:

Q: The figure shows a set of concrete stairs to be built. 12ft 5 -ft 7 37 35 1-ft mera 1s Enter the…

A: Here we will find the volume of concrete required for stairs,

Q: (A4) LXTC 9. Determine the equation of the parabola shown. (1,0) 1(0, -2) 5 (8,0) 10

A: We are asked to find the equation of the parabola

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

Q: If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A,…

A: If the abscissae of points ,A,B are the roots of the equation x2+2ax-b2=0and ordinates of A,B are…

Q: In the figures, are corresponding angles congruent? Are corresponding sides proportional? Are the…

A: Disclaimer: Since you have posted multiple sub-parts of question , we will solve first three for…

Q: Find the exact length of the missing leg of a right triangle whose hypotenuse has length of 3 cm and…

Q: What is true about AABC? A. B. OC. D. sin(A) = sin(C) and cos(A) = cos(C) sin(A) = cos(A) and sin(C)…

A: NOTE: Refresh your page if you can't see any equations. . for the right angle triangle, use the…

Q: Calculate the perimeter of quadrilateral STUV

Question

100%

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Refer to the shaft shown in Figure 6-4. Determine the missing dimensions in the table using the dimensions given. All dimensions are in inches.
All sections of the block in Figure 13-9 are equal in length. Determine the length A to the nearest thousandth millimeter.
Given: In Figure 39-12, s is the length of a side of a hexagon, r isthe radius of the inside circle, and R is the radius of the outside circle. a. What is the length of r if r equals the product of 0.866 and the length of a side of the hexagon? b. What is the length of R if R equals the product of 1.155 and the radius of the inside circle? c. What is the area of the hexagon if the area equals the product of 2.598 and the square of the radius of the outside circle?
An airplane reaches an altitude of 3mi above the earth. Assuming a clear day and that a passenger has binoculars, how far can the passengers see? HINT: The radius of the earth is approximately 4000 mi.
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 radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a right circular cone. If the length of the radius of the circle is 6.4 cm, what is the lateral area of the cone that is formed? Use a calculator and round the answer to the nearest tenth of a square inch.
The length of each side of a regular hexagon measures 6in. Find the area of the inscribed regular hexagram shaded in the figure.
The radii of two concentric circles differ in length by exactly 1 in. If their areas differ by exactly 7 in2, find the lengths of the radii of the two circles.
In terms of the apothem a and length of side s of the smaller regular pentagon, find an expression for the shaded area.
The machined plate distances shown in Figure 41-3 are dimensioned, in millimeters, in terms of x. Determine dimensions A-G.
Find the area of an equilateral triangle with apothem a = 4.6 in. and perimeter P=27.63 in.
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.