**3.19 (Geometry: point in a circle?) Write a program that prompts the user to enter a point (x, y) and checks whether the point is within the circle centered at (0, 0) with radius 10. For example, (4, 5) is inside the circle and (9, 9) is outside the circle, as shown in Figure 3.7a. Figure 3.7 (4,5) 3-1 (0,0) x-axis y-axis y-axis (2, 2) (0,0) (6,4) (a) Points inside and outside of the circle. (b) Points inside and outside of the rectangle. (Hint: A point is in the circle if its distance to (0, 0) is less than or equal to 10. The formula for computing the distance is √(x² − x₁)² + (y2− y₁)². Test your program to cover all cases.)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Write the program in C++

**3.19 (Geometry: point in a circle?) Write a program that prompts the user to
enter a point (x, y) and checks whether the point is within the circle centered at
(0, 0) with radius 10. For example, (4, 5) is inside the circle and (9, 9) is outside
the circle, as shown in Figure 3.7a.
Figure 3.7
y-axis A
(9,9)
(4,5)
&
(0,0)
x-axis
y-axis A
(2,2)
(0,0)
(b)
(6,4)
x-axis
(a) Points inside and outside of the circle. (b) Points inside and outside of the rectangle.
(Hint: A point is in the circle if its distance to (0, 0) is less than or equal to 10.
The formula for computing the distance is √(x² − x₁)² + (y2− y₁)² . Test
your program to cover all cases.)
Transcribed Image Text:**3.19 (Geometry: point in a circle?) Write a program that prompts the user to enter a point (x, y) and checks whether the point is within the circle centered at (0, 0) with radius 10. For example, (4, 5) is inside the circle and (9, 9) is outside the circle, as shown in Figure 3.7a. Figure 3.7 y-axis A (9,9) (4,5) & (0,0) x-axis y-axis A (2,2) (0,0) (b) (6,4) x-axis (a) Points inside and outside of the circle. (b) Points inside and outside of the rectangle. (Hint: A point is in the circle if its distance to (0, 0) is less than or equal to 10. The formula for computing the distance is √(x² − x₁)² + (y2− y₁)² . Test your program to cover all cases.)
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