The image contains two geometry problems. Here is a breakdown of each question and their solutions.

Problem 2

Instructions: Find the perimeter of the given shapes.

Part (a)

Given:

• $AC = 24 \, \text{cm}$
• $OB = 9 \, \text{cm}$

The shape appears to be a semicircle on top of a triangle.

1. Find the Radius of the Semicircle:

   • Since $OB$ is the radius of the semicircle, $r = 9 \, \text{cm}$.

2. Find the Circumference of the Semicircle:

   • The circumference of a full circle with radius $r$ is $2 \pi r$.
   • For a semicircle, we take half of this: $\text{Semicircle Circumference} = \pi \times r = \pi \times 9 = 9 \pi \, \text{cm}$

3. Calculate the Perimeter of the Triangle Portion:

   • The triangle has a base $AC = 24 \, \text{cm}$, so we