The following image displays a pool and hexagonal gazebo located in your backyard and enclosed by a fence. The dimensions of the rectangle are 40 feet by 45 feet. The pool is the inner circle with a radius of 9.5 feet denoted by line AC, the walkway around the pool is shaded and AB is 12 feet. The side of the hexagon is 12 feet and it has an apothem of 8 feet. a. What is the area of the walkway around the pool? b. The area not taken up by the pool and gazebo is all covered by grass. Approximately how many square feet of grass are in this section of the backyard? (round to the nearest square foot) c. Which area is bigger the pool or the gazebo? (show all calculations to prove your answer)

The following image displays a pool and hexagonal gazebo located in your backyard and enclosed by a fence. The dimensions of the rectangle are 40 feet by 45 feet. The pool is the inner circle with a radius of 9.5 feet denoted by line AC, the walkway around the pool is shaded and AB is 12 feet. The side of the hexagon is 12 feet and it has an apothem of 8 feet. a. What is the area of the walkway around the pool? b. The area not taken up by the pool and gazebo is all covered by grass. Approximately how many square feet of grass are in this section of the backyard? (round to the nearest square foot) c. Which area is bigger the pool or the gazebo? (show all calculations to prove your answer)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 46E

See similar textbooks

Similar questions

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?
On a fitting for a hex wrench, the distance from the center o to a vertex is 5mm The length of radius OB of the circle is 10mm. If OCDE at F, how long is FC?
Find the area of an equilateral triangle with apothem a = 3.2 cm and perimeter P=19.23 cm.
The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.
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.
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.
Find the area of an equilateral triangle with apothem a = 4.6 in. and perimeter P=27.63 in.
Explain how the figure below illustrates the Pythagorean Theorem for a triangle with legs of length 3 and 4
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?
For the circle shown below, the length of the radius is 5 in. Find the exact: a Circumference b Area
An architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of 6 feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.}