1. **Stating the problem:**
We are asked to find the area of the shaded segment (tembereng) of a circle with radius $r = 10$ cm and $\pi = 3.14$.
2. **Formula and explanation:**
The area of a segment (tembereng) of a circle is given by:
$$\text{Area segment} = \text{Area sector} - \text{Area triangle}$$
Where:
- Area sector = $\frac{\theta}{360} \times \pi r^2$
- Area triangle depends on the chord and radius, but if the central angle $\theta$ is known, the triangle area can be calculated using:
$$\text{Area triangle} = \frac{1}{2} r^2 \sin(\theta)$$
3. **Important rules:**
- $\theta$ is the central angle in degrees.
- $r$ is the radius of the circle.
4. **Intermediate work:**
The problem does not explicitly give the central angle $\theta$, but since the options are given, we assume the shaded area corresponds to a known segment.
Let's check if the shaded area corresponds to half the circle minus a triangle or a known fraction.
Since the radius $r=10$ cm, the full circle area is:
$$\pi r^2 = 3.14 \times 10^2 = 314 \text{ cm}^2$$
The options are much smaller, so likely the segment corresponds to a smaller angle.
Let's try to find the angle $\theta$ that matches the given options.
For example, option B is 78.5 cm².
Let's check if this corresponds to a quarter circle segment:
Area sector for $\theta=90^\circ$:
$$\frac{90}{360} \times 314 = \frac{1}{4} \times 314 = 78.5 \text{ cm}^2$$
If the triangle area is zero (like a quarter circle sector), the segment area equals sector area.
So, the shaded area is likely a quarter circle segment.
5. **Final answer:**
The area of the shaded segment (tembereng) is:
$$\boxed{78.5 \text{ cm}^2}$$
Corresponding to option B.
Luas Tembereng 0A9Fdb
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