 Solve problems involving geometric probability.  Solve problems involving sectors and segments of circles.

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Presentation transcript:

 Solve problems involving geometric probability.  Solve problems involving sectors and segments of circles.

 If a point in region A is chosen at random, then the probability P(B) that the point is in region B, which is in the interior of region A, is A B P(B)= area of region B area of region A

Suppose this is a dart board. You are trying to hit the red part of the board. Determine the probability that this will happen. A = 81 units 2 A = 25 units 2 P(Red) = 25 81

 If a sector of a circle has an area of A square units, a central angle measuring N°, and a radius of r units, then  and recall… P(B) = area of sector   area of circle NºNº r O    r   Sector- a region of the circle bounded by its central angle and its intercepted arc.

12 Find the area of the blue sector. Keep in terms of pi. Find the probability that a point chosen at random lies in the blue region.

 Segment-region of a circle bounded by an arc and a chord. arc chord segment To find the area of a segment, subtract the area of the triangle formed by the radii and the chord from the area of the sector containing the segment. N 360 (  r 2 ) - 1∕2bh

14 Find the area of the red segment. Assume that it is a regular hexagon. First find area of a sector. Then find the area of a triangle. Then subtract the area of the triangle from the area of the sector to find the area of the red segment. What is the probability that a random point is in the red segment?

GGEOMETRY Pg.625 #7-23,