1. **Stating the problem:**
We have a circular park with radius $r=14$ meters.
Inside it, there is a fish pond shaped as a circular sector (juring) with central angle $\alpha=90^\circ$.
We need to find:
- The arc length (Panjang Busur, PB) of the sector.
- The area (Luas Juring, LJ) of the sector.
2. **Formulas and rules:**
- Arc length of a sector: $$PB = \frac{\alpha}{360^\circ} \times 2\pi r$$
- Area of a sector: $$LJ = \frac{\alpha}{360^\circ} \times \pi r^2$$
Note: $\pi \approx 3.1416$ and angles must be in degrees.
3. **Calculating the arc length:**
$$PB = \frac{90}{360} \times 2 \times 3.1416 \times 14 = \frac{1}{4} \times 2 \times 3.1416 \times 14$$
$$PB = \frac{1}{4} \times 87.9648 = 21.9912 \text{ meters}$$
4. **Calculating the area of the sector:**
$$LJ = \frac{90}{360} \times 3.1416 \times 14^2 = \frac{1}{4} \times 3.1416 \times 196$$
$$LJ = \frac{1}{4} \times 615.752 = 153.938 \text{ square meters}$$
**Final answers:**
- Panjang Busur (arc length) $PB \approx 21.99$ meters
- Luas Juring (area) $LJ \approx 153.94$ square meters
Kolam Ikan
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