10.6 Areas and Trigonometry

1
10.6 Areas and Trigonometry
Learning Objective To use trigonometry to find
areas of polygons and volumes of prisms and to
find areas of real-world objects using
trigonometry.
Warm-up (IN)
2
Learning Objective To use trigonometry to find
areas of polygons and volumes of prisms and to
find areas of real-world objects using
trigonometry.
Notes
EX 1 a barn is in the shape of a regular
octagon with a 56 ft diameter. Find the area of
the barn floor.
3
Learning Objective To use trigonometry to find
areas of polygons and volumes of prisms and to
find areas of real-world objects using
trigonometry.
EX 2 find the area of this parallelogram
4
Learning Objective To use trigonometry to find
areas of polygons and volumes of prisms and to
find areas of real-world objects using
trigonometry.
EX 3 each base of this prism is a regular
pentagon. Find the volume of the prism.
5
Out Without using trig, what information must
you know about a regular polygon to find its
area? How does trig help you find the area?
Summary Wow! Now, I can
HW p. 532 1-11, 14-21