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Pada gambar di atas, terdapat lingkaran dengan titik pusat 
0,OA dan 
OB adalah jari-jari lingkaran. Luas tembereng tersebut adalah ... 
cm^(2).

Pada gambar di atas, terdapat lingkaran dengan titik pusat 0,O A 0, O \mathrm{~A} dan O B O \mathrm{~B} adalah jari-jari lingkaran. Luas tembereng tersebut adalah ... cm2 \mathrm{cm}^{2} .

Full solution

Q. Pada gambar di atas, terdapat lingkaran dengan titik pusat 0,O A 0, O \mathrm{~A} dan O B O \mathrm{~B} adalah jari-jari lingkaran. Luas tembereng tersebut adalah ... cm2 \mathrm{cm}^{2} .
  1. Calculate Sector Area: First, we need to find the area of the sector formed by radii OA and OB and the angle between them. Let's call the angle θ\theta (in radians). The area of the sector is (θ/2π)πr2(\theta/2\pi) * \pi r^2, where rr is the radius of the circle.
  2. Find Triangle Area: Next, we calculate the area of the triangle formed by OA, OB, and the chord AB. The area of the triangle is (1/2)×base×height(1/2) \times \text{base} \times \text{height}. Here, the base is the length of the chord AB, and the height is the perpendicular distance from O to the chord AB.
  3. Calculate Segment Area: Now, subtract the area of the triangle from the area of the sector to get the area of the segment. Area of segment = Area of sectorArea of triangle.\text{Area of sector} - \text{Area of triangle}.
  4. Information Required: But wait, we don't have the values for θ\theta, rr, or the length of the chord ABAB. We can't solve the problem without this information.

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