Mathematical constants (pi, e, golden ratio) in SciPy - Practice Problems & Coding Challenges

Challenge - 5 Problems

❓ Predict Output

intermediate

Output of pi constant from scipy

What is the output of this code snippet that prints the value of pi from scipy.constants?

SciPy

from scipy.constants import pi
print(round(pi, 4))

A 3.1416

B 3.14

C 3.142

D 3.1415

💡 Hint

Use round() to 4 decimal places on pi constant.

The scipy.constants.pi value is approximately 3.141592653589793. Rounded to 4 decimals, it becomes 3.1416.

❓ data_output

intermediate

Value of Euler's number (e) from numpy

What is the value of Euler's number (e) from numpy when rounded to 3 decimals?

SciPy

from numpy import e
print(round(e, 3))

A 2.719

B 2.718

C 2.717

D 3.142

💡 Hint

Euler's number e is about 2.71828.

The constant e from numpy is approximately 2.718281828459045. Rounded to 3 decimals, it is 2.718.

🧠 Conceptual

advanced

Understanding the golden ratio constant

Which of the following statements about the golden ratio constant from scipy.constants is true?

A It is the same as pi but used in geometry.

B It is exactly 1.5 and used mainly in computer science algorithms.

C It is a variable constant that changes with time.

D It is approximately 1.618 and represents a special ratio in nature and art.

💡 Hint

Think about the unique properties of the golden ratio.

The golden ratio is approximately 1.6180339887 and appears in nature, art, and architecture as a pleasing proportion.

❓ Predict Output

advanced

Calculate the sum of pi, e, and golden ratio constants

What is the output of this code that sums pi and golden from scipy.constants and e from numpy and rounds to 5 decimals?

SciPy

from scipy.constants import pi, golden
from numpy import e
result = pi + e + golden
print(round(result, 5))

A 7.47790

B 7.47793

C 7.47791

D 7.47792

💡 Hint

Add the three constants and round the sum to 5 decimals.

pi ≈ 3.141592653589793 (scipy.constants), e ≈ 2.718281828459045 (numpy), golden ≈ 1.618033988749895 (scipy.constants). Sum ≈ 7.477908470798733. Rounded to 5 decimals: 7.47791.

🔧 Debug

expert

Identify the error in accessing the golden ratio constant

What error will this code raise when trying to import and print the golden ratio constant from scipy.constants?

SciPy

from scipy.constants import golden_ratio
print(golden_ratio)

A ImportError

B ModuleNotFoundError

C AttributeError

D NameError

💡 Hint

Check the exact name of the golden ratio constant in scipy.constants.

The golden ratio constant in scipy.constants is named 'golden', not 'golden_ratio'. Trying to import 'golden_ratio' causes ImportError.