Geo_Sec._11.7

GeometryChapter 11 - Measuring Length and AreaSection 11.7 - Use Geometric Probabilityjlister, F107

What the student should get from this:!" Calculate geometric probabilities#" Use geometric probability to predict results in real-world situations

Example: the rectangle represents the DZ (drop zone)for a platoon of paratroops. The circle representsa small wooded area. All things being equal, whatis the chance that any one paratroop will land inthe trees?

Some of the aircraft I have parachuted from...

C-130 C-141 C-123 UH-1

Trees - bad news for parachutists!

575 meters

99 meters50 m

Example: The irregular shape represents the ground floor of the Austin Convention Center. Only a portion of the floor will be carpeted. If the vendors are placed at random throughout the floor, what is the chance that any one vendor will be on the carpet?

Solve for the area of the sectors and length of arcs. Then determine the probability of the arrow landing in the area of the sector if the arrow is spun.

CarpetCarpet

165 yd

45 yd80 yd

50 yd60 yd

50 yd 20 x 30 yd40 yd

70 yd

60 yd

7 cm120˚A

B

14 cm

45˚

A

B

All things being equal, what is the probability of a dart thrower hitting the shaded area with one throw of a dart?

Assignment: p.774 #s 8-10 all, 12-14 all, 16-22 all, p.777 #s 3 and 4. Due next class. One class period late will be 50% off. Beyond that, no credit given. Show work and draw all the pictures.

10 4

60˚

A

B 5 in. a square

28 ft

22 ft

x x