(a)
To find: The equation of the
(a)
Answer to Problem 18RP
The equation of the circle is
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
The general form for the equation of the circle is,
Then, the radius of the circle is obtained as,
Then, the equation of the circle is,
(b)
To find: The area of the circle.
(b)
Answer to Problem 18RP
The area of the circle is
Explanation of Solution
Calculation:
Consider the radius of the circle is 40.
Then, the area of the circle is,
(c)
To find: The coordinates of the V.
(c)
Answer to Problem 18RP
The coordinate of the
Explanation of Solution
The point P is the midpoint of VR when
(d)
To find: The point slope form of the equation of the tangent RT.
(d)
Answer to Problem 18RP
The equation of RT is
Explanation of Solution
The formula to determine the slope of the line is of the form,
Then, slope of the line RT is,
Then, the equation of the line is for the point
(e)
To find: The value of PT.
(e)
Answer to Problem 18RP
The value of the PT is
Explanation of Solution
The distance between the two points in the coordinate plane is of the form,
Then, the length of the PT is,
(f)
To find: The distance from T to the circle to nearest tenth.
(f)
Answer to Problem 18RP
The
Explanation of Solution
The distance between the two points in the coordinate plane is of the form,
The distance from T to the circle is,
Then,
(g)
To find: The equation of the circle PRT.
(g)
Answer to Problem 18RP
The area of the
Explanation of Solution
The area of the triangle
Consider the area of the triangle is of the form,
Then,
Chapter 13 Solutions
Geometry For Enjoyment And Challenge
Additional Math Textbook Solutions
STATS:DATA+MODELS-W/DVD
A First Course in Probability
Intro Stats, Books a la Carte Edition (5th Edition)
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
A First Course in Probability (10th Edition)
Elementary Statistics (13th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning