Question

1. Write Python expressions corresponding to the following statements:

1. The length of the hypotenuse in a right triangle whose other two sides have lengths a and b
2. The value of the expression that evaluates whether the length of the above hypotenuse is 5
3. The area of a disk of radius a
4. The value of the Boolean expression that checks whether a point with coordinates x and y is inside a circle with center (a, b) and radius r

Answer 1

Ans a) Initalize a and b with some values

** works as ^ in python, i.e. 2 ** 3 = 8 (2 to the power 3)

hypotenuse = ((a ** 2) + (b ** 2)) ** 0.5

Ans b)

Syntax is: true_value if Condition else false_value

print("Hypotenuse = 5") if hypo = 5 else print("Hypotenuse not 5")

Ans c) area = 3.14 * a * a

Ans d) If the distance between point and center coordinates is less than radius, then point is inside circle

(x, y) are coordinates and (a, b) is center

Initialize x, y, a, b and r

Expression:

print("Inside circle") if ((x - a)**2 + (y - b)**2)**0.5 < r else print("outside circle")