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The question asks to find the area of a circular sector, given the central angle of 180° and the circumference \( 50\pi \) cm.

### Step 1: Find the radius
The formula for the circumference of a circle is:
\[
C = 2\pi r
\]
Given \( C = 50\pi \) cm, we can solve for \( r \):
\[
50\pi = 2\pi r
\]
\[
r = \frac{50\pi}{2\pi} = 25 \text{ cm}
\]

### Step 2: Calculate the area of the circle
The formula for the area of a circle is:
\[
A = \pi r^2
\]
Substitute \( r = 25 \) cm and \( \pi = 3.14 \):
\[
A = 3.14 \times 25^2 = 3.14 \times 625 = 1962.5 \text{ cm}^2
\]

### Step 3: Find the area of the sector
The area of a sector is proportional to the angle of the sector. Since the central angle is 180° (which is half of the full circle), the area of the sector is half of the total area of the circle:
\[
\text{Area of sector} = \frac{180}{360} \times 1962.5 = \frac{1}{2} \times 1962.5 = 981.25 \text{ cm}^2
\]

Thus, the area of the circular sector is **981.25 cm²**.

Would you like further details on any step, or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the area change if the angle were 90° instead of 180°?
2. What is the formula for the area of a circular segment?
3. How do you find the radius if the area and angle of a sector are given?
4. How does changing the radius affect the area of a sector?
5. How can the formula for circumference help in calculating arc length?

**Tip:** In any problem involving circles, always start by identifying the radius, as most formulas rely on it!

Diketahui lingkaran dengan sudut pusat 180° dan keliling lingkarannya 50π cm, maka luas juring lingkaran tersebut adalah.....cm² (gunakan π = 3,14 dan pembulatan sampai dua angka desimal).

Learn how to calculate the area of a sector of a circle given a central angle of 180° and a circumference of 50π cm. This detailed solution demonstrates the step-by-step process, including how to find the radius, calculate the full circle area, and then find the area of the sector.

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