Write the program in C++ **3.19 (Geometry: point in a circle?) Write a program that prompts the user toenter 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 outsidethe circle, as shown in Figure 3.7a.Figure 3.7y-axis A(9,9)(4,5)&(0,0)x-axisy-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 . Testyour program to cover all cases.)

Step-1: StartStep-2: Declare variable x, y, distanceStep-3: Calculate distance by using square root…

**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.)

**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.)

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section5.3: Interactive While Loops

Problem 6E: (Conversion) a. Write a C++ program to convert meters to feet. The program should request the...

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