https://file.aiquickdraw.com/mathbot/file/1725811709262s95w9eps.jpg

It looks like you've uploaded an image with several geometry problems involving circles, tangents, and chords. I’ll need a moment to read and extract the questions from the image so I can help solve them. 

Let me analyze it.Here is the first question from the image:

1. **In the given figure, C is the center of the circle. If CA = 28 cm, find the area of the sector ACB.**

To solve this:
- **CA** represents the radius of the circle, which is given as 28 cm.
- **Sector ACB** represents a portion of the circle, but we need the angle subtended at the center by arc AB to determine the area of the sector.

Formula for the area of a sector:
\[
\text{Area of sector} = \frac{\theta}{360^\circ} \times \pi r^2
\]
Where:
- \( \theta \) is the central angle in degrees,
- \( r \) is the radius of the circle.

Please let me know if the angle \( \theta \) is provided in the image, and I can proceed with solving it. 

Would you like me to continue with the rest of the questions or focus on this one? Let me know if you have any details on the angle or any other clarifications.

### Related Questions:
1. What is the general method for calculating the length of an arc in a circle?
2. How do you find the angle subtended by a chord at the center of the circle?
3. What are the properties of tangents drawn from a common external point to a circle?
4. Can a circle have more than one sector, and how do they differ in size?
5. How would you calculate the perimeter of a sector?

**Tip:** Always check if a given diagram is to scale, but when working mathematically, use precise measurements as given in the problem instead of visual estimates.

In the given figure, C is the center of the circle. If CA = 28 cm, find the area of the sector ACB.

Learn how to calculate the area of a sector in a circle where the radius is 28 cm. This problem focuses on key geometric principles, including sectors, the central angle theorem, and properties of circles. Perfect for students in Grades 9-12.

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