Answer:
Here's a QBASIC program that asks for the radius of a circle, calculates its area using a user-defined function, and calculates its circumference using a sub-program:
```
REM Circle Area and Circumference Calculator
CLS
REM Define user-defined function to calculate area
DEF FNarea(r)
area = 3.14159 * r * r
FNarea = area
END DEF
REM Define sub-program to calculate circumference
SUB CalcCircumference(r)
circumference = 2 * 3.14159 * r
PRINT "Circumference: "; circumference
END SUB
REM Ask for radius input
INPUT "Enter the radius of the circle: ", r
REM Calculate and print area using user-defined function
area = FNarea(r)
PRINT "Area: "; area
REM Calculate and print circumference using sub-program
CALL CalcCircumference(r)
END
```
In this program, the user-defined function `FNarea` calculates the area of the circle using the formula `area = pi * r^2`. The sub-program `CalcCircumference` calculates the circumference of the circle using the formula `circumference = 2 * pi * r`. The `INPUT` statement asks the user to input the radius of the circle. The program then calculates and prints the area and circumference of the circle using the user-defined function and sub-program.