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The image contains three geometry problems, with a focus on different concepts. Let's break them down one by one:

### Problem 1: 
A figure is provided, which seems to involve a semicircle and a triangle. The problem asks for the following:

1. **Area of the semicircle** using the formula \( A = \frac{1}{2}\pi r^2 \), where \( r \) is the radius.
2. **Area of the triangle** using \( A = \frac{1}{2} \times \text{base} \times \text{height} \).
3. **Area of the figure** which involves subtracting the area of the triangle from the area of the semicircle.

### Problem 2:
This problem involves a segment of a circle and asks for:

1. **Length of the arc** using the formula \( L = \theta r \), where \( \theta \) is the angle in radians and \( r \) is the radius.
2. **Area of the segment** which is typically calculated by subtracting the area of the triangle formed from the area of the sector.

### Problem 3:
It involves solving a trigonometric identity or expression, likely requiring simplification or proving an equation involving trigonometric functions.

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The image contains three geometry problems involving a semicircle, a triangle, and a circle segment.

Explore detailed solutions to geometry problems involving semicircles, triangles, and circle segments. Learn key concepts such as area calculation, arc length, and segment area, suitable for students in Grades 10-12.

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