6. The Castel del Monte is shown on this postal stamp. Built in Italy in the 13th century, its basic floor plan is shown in the figure below. Its inner and outer walls lie along the sides of two regular octagons. Inner Courtyard B Given that the radius of the inner wall, OA, is 35 feet and that the radius of the outer wall, OB, is 70 feet, find each of the following. a) The area of the inner courtyard (the smaller octagon). b) The perimeter of the outer wall. c) The area enclosed between the outer and inner walls to the nearest hundred square feet.

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Chapter9: Math Models And Geometry
Section9.3: Use Properties Of Angles, Triangles, And The Pythagorean Theorem
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[1
6. The Castel del Monte is shown on this postal
stamp.
CENAZE3200
Built in Italy in the 13th century, its basic floor
plan is shown in the figure below. Its inner and
outer walls lie along the sides of two regular
octagons.
Inner
Courtyard
B
Given that the radius of the inner wall, OA, is
35 feet and that the radius of the outer wall, OB,
is 70 feet, find each of the following.
a) The area of the inner courtyard (the smaller
octagon).
b) The perimeter of the outer wall.
c) The area enclosed between the outer and
inner walls to the nearest hundred square feet.
Transcribed Image Text:[1 6. The Castel del Monte is shown on this postal stamp. CENAZE3200 Built in Italy in the 13th century, its basic floor plan is shown in the figure below. Its inner and outer walls lie along the sides of two regular octagons. Inner Courtyard B Given that the radius of the inner wall, OA, is 35 feet and that the radius of the outer wall, OB, is 70 feet, find each of the following. a) The area of the inner courtyard (the smaller octagon). b) The perimeter of the outer wall. c) The area enclosed between the outer and inner walls to the nearest hundred square feet.
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