A circle O is inscribed in square LWUA. If the area of the shaded region is (4π - 8)cm^2, find the perimeter of the square.​

1. A circle O is inscribed in square LWUA. If the area of the shaded region is (4π - 8)cm^2, find the perimeter of the square.​

Answer:

Let the side length of the square be x cm. Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square, or x cm. The radius of the circle is therefore x/2 cm.

The area of the square is x^2 cm^2, and the area of the circle is π(x/2)^2 cm^2 = (π/4)x^2 cm^2.

The shaded region is the difference between the area of the square and the area of the circle, so (4π - 8) cm^2 = x^2 - (π/4)x^2.

Solving for x, we get:

(4π - 8) cm^2 = x^2 - (π/4)x^2

5π/4 cm^2 = x^2

x^2 = (5π/4) cm^2

x = √(5π/4) cm

The perimeter of the square is equal to the sum of all four sides, which is 4x cm. Substituting in our value for x, we get:

4x cm = 4(√(5π/4)) cm = 2√(5π) cm.

Thus, the perimeter of the square is 2√(5π) cm.

2. IV. ibigay ang kahulugan ng mga sumusunod na may kinalaman sa mga sektor ne ekonomiya. (10DUR"puntos)1. UNDP2. BAS3. PSA-4. LWUA-5. SSL-6. DOLE7. POEA8. NAPC-9. DSWD-10. HUDCC​

Answer:

1) UNDP- UNITED NATIONS DEVELOPMENT PROGRAMME

2) BAS - BUREAU OF AGRICULTURAL STATISTICS

3) PSA - PHILIPPINE STATISTIC AUTHORITY

4) LWUA - LOCAL WATER UTILITIES ADMINISTRATION

5) SSL - SALARY STANDARDIZATION LAW

6) DOLE - DEPARTMENT OF LABOR AND EMPLOYMENT

7) POEA - PHILIPPINE OVERSEAS EMPLOYMENT ADMINISTRATION

8) NAPC - NATIONAL ANTI- POVERTY COMISSION

9) DSWD - DEPARTMENT OF SOCIAL WELFARE AND DEVELOPMENT

10) HUDCC - HOUSING AND URBAN DEVELOPMENT COORDINATING COUNCIL

Explanation:

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