(a)
To find: The length of the arc that is formed by the outer edge of the step.
(a)
Answer to Problem 46E
The value of the arc length is
Explanation of Solution
Given:
The spiral staircase has 15 steps, each step is a sector of the radius of 42 inches and the central angle is of
Calculation:
Consider the formula to determine the arc length is,
Then,
(b)
To find: The angle through which the person is rotated by climbing the stairs.
(b)
Answer to Problem 46E
The person is rotated by
Explanation of Solution
Consider the angle of rotation includes 16th step.
Then, the angle through which the person is rotated is obtained as,
(c)
To find: The area of the square inches of carpeting that is needed to cover the 15 steps.
(c)
Answer to Problem 46E
The area of the carpeting is
Explanation of Solution
Consider the area of the 15 sectors is obtained as,
Chapter 9 Solutions
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