Question

What is the total perimeter of a semicircle whose radius is \( k \)?

• A. \( \pi k \)
• B. \( (\pi +1) k \)
• C. \( \pi + 2k \)
• D. \( (\pi + 2) k \)

Hint:

Total perimeter of a semicircle is: \[ \pi r + 2r = (\pi + 2) r. \]

Answer 1

The Correct Option is D

A semicircle has:
- Curved perimeter: \( \frac{2\pi r}{2} = \pi r \).
- Straight diameter: \( 2r \).
Total perimeter:
\[ P = \pi k + 2k = (\pi + 2) k. \]