a.
To state: The distance from the goal line to the person where the person will leave the
The resultant answer is 125 feet.
Given information:
The band members form a circle 100 feet wide in the center of the field. A person starts at a point on the circle 100 feet from the goal line, march
Explanation:
First draw the diagram using the given information:
From the above figure, the distance where the person leaves the circle can be find out:
Now find x , using the right
Now solve for x ,
Now evaluate
Therefore, the point where the person leaves the circle is 125 feet far from the goal line.
b.
To state: The distance for which the person march around the circle.
The resultant answer is 262 feet.
Given information:
The band members form a circle 100 feet wide in the center of the field. A person starts at a point on the circle 100 feet from the goal line, march
Explanation:
The diagram is:
It can be seen that the distance walked by the person is equivalent to the length of the arc that subtends the central angle
The length of the arc is given by
Now replace
Therefore, the distance marched by the person is about 262 feet around the circle.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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