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The problem shown in the image involves calculating the arc lengths of segments AB, AC, BD, and CD of a circle, where the center of the circle is marked \( O \). The central angles given are:

- \( \angle AOB = 60^\circ \)
- \( \angle AOC = 150^\circ \)
- \( \angle BOC = 90^\circ \)

To solve this, we need the radius \( r \) of the circle and will use the formula for arc length \( s \):

\[
s = \theta \times \frac{\pi r}{180}
\]

where \( \theta \) is the central angle in degrees, and \( r \) is the radius of the circle.

Let's address the arcs based on the angles provided:

- **Arc AB** corresponds to \( \angle AOB = 60^\circ \)
- **Arc AC** corresponds to \( \angle AOC = 150^\circ \)
- **Arc BD** corresponds to \( \angle BOD = \text{(should be the remaining angle based on full 360°)} \)
- **Arc CD** will need the angle of the remaining section of the circle as well.

Could you please confirm if the radius \( r \) of the circle is provided or would you like to assume a value to proceed with the calculations?

Once I know the radius, I'll calculate the arc lengths for each section.

Perhatikan gambar lingkaran di bawah ini, hitung panjang busur AB, AC, BD, dan CD. Sudut-sudut pusat yang diketahui: ∠AOB = 60°, ∠AOC = 150°, dan ∠BOC = 90°.

Learn how to calculate the arc lengths AB, AC, BD, and CD of a circle, where the central angles are ∠AOB = 60°, ∠AOC = 150°, and ∠BOC = 90°. Suitable for students in Grades 9-11, this problem focuses on geometric concepts involving circle properties and arc length calculations using the central angle theorem.

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