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The question in the image pertains to geometry, specifically involving circles and angles. Let's break down the problem step by step.

### Problem 1: Tentukan Tali Busur, Busur, Jari-Jari, Sudut Pusat, Sudut Keliling
1. **Tali Busur (Chord)**: In the given diagram, a chord is a line segment whose endpoints lie on the circle. In this case, segment \(AB\) is a chord of the circle.
2. **Busur (Arc)**: The arc is the portion of the circumference of the circle that lies between two points. For the chord \(AB\), the corresponding arc is the part of the circle that spans between points \(A\) and \(B\) (labeled as \(\overset{\frown}{AB}\)).
3. **Jari-Jari (Radius)**: The radius is the line segment from the center of the circle to any point on the circle. In the diagram, segments \(AE\) and \(AD\) are radii of the circle.
4. **Sudut Pusat (Central Angle)**: The central angle is the angle subtended by an arc at the center of the circle. In this case, \(\angle EAD\) is the central angle for arc \(ED\).
5. **Sudut Keliling (Inscribed Angle)**: The inscribed angle is the angle subtended by an arc at a point on the circle. For arc \(AB\), \(\angle ECA\) is the inscribed angle.

### Problem 2: Tentukan Besar \(\angle ECA\)

The diagram shows a circle with a triangle inscribed in it, and we are given the following angles:
- \(\angle EDB = 134^\circ\)
- \(\angle DBA = 50^\circ\)

Using the properties of circles, particularly the **angle subtended by a chord theorem**:
- The angle subtended by a chord at the center (central angle) is twice the angle subtended by the same chord at any point on the circumference (inscribed angle).

\[
\angle ECA = \frac{1}{2} \times \angle EDB = \frac{1}{2} \times 134^\circ = 67^\circ
\]

Thus, the measure of \(\angle ECA\) is \(67^\circ\).

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Would you like more detailed steps or clarifications on any part?

Here are 5 related questions to expand your understanding:
1. How would you calculate the length of a chord given the radius and angle subtended at the center?
2. What is the difference between a major and minor arc in a circle?
3. How can you prove that the central angle is twice the inscribed angle?
4. Can you determine the area of a sector formed by a central angle?
5. How would you use the Pythagorean theorem in a right triangle inscribed in a circle?

**Tip**: When working with circle theorems, always keep in mind the relationships between angles, chords, and arcs to solve problems efficiently!

Tentukan besar ∠ECA dalam diagram lingkaran dengan chord, busur, dan sudut yang diberikan.

Learn how to determine the measure of ∠ECA in a circle, where the inscribed angle theorem is applied. The problem involves using key circle theorems and angle relationships. Ideal for students in Grades 9-10.

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