(a)
To find: The equation for the tangent of the
(a)
Answer to Problem 14PSB
The equation for the tangent of the circle is
Explanation of Solution
Given:
The given point of tangent
The given graph is shown in Figure 1
Figure 1
Calculation:
The slope of the line is calculated as,
Then, the slope of the tangent is,
The equation for the tangent is,
Thus, the tangent equation is,
(b)
To find: The circumference of the circle.
(b)
Answer to Problem 14PSB
The circumference of the circle
Explanation of Solution
The radius of the circle by the distance formula is obtained as,
Then, the circumference of the circle is,
(c)
To find: The distance of the point from A to Q.
(c)
Answer to Problem 14PSB
The value of AQ is
Explanation of Solution
From the figure the coordinates of point A is
Then, by the distance formula the distance between both the points is obtained as,
(d)
To find: The distance of the point from A to the circle.
(d)
Answer to Problem 14PSB
The distance of the point from A to the circle
Explanation of Solution
From the distance of the point from A to the circle is the difference between AQ and the radius of the circle as,
(e)
To find: The area of the sector.
(e)
Answer to Problem 14PSB
The area of the sector is
Explanation of Solution
Consider the formula to determine the area of the sector is,
Then,
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