Area
Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees?
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A.
6.28 m²
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B.
12.56 m²
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C.
3.14 m²
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D.
9.42 m²
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × (4 m)² = (1/4) × 3.14 × 16 m² = 12.56 m².
Correct Answer: B — 12.56 m²
Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees? (Use π = 3.14)
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A.
12.56 m²
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B.
6.28 m²
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C.
3.14 m²
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D.
9.42 m²
Solution
Area of sector = (θ/360) × πr² = (90/360) × 3.14 × (4 m)² = 12.56 m² / 4 = 3.14 m².
Correct Answer: B — 6.28 m²
Q. What is the area of a sector of a circle with a radius of 5 cm and a central angle of 60 degrees? (Use π = 3.14)
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A.
13.09 cm²
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B.
15.71 cm²
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C.
10.42 cm²
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D.
12.27 cm²
Solution
Area of sector = (θ/360) × πr² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².
Correct Answer: A — 13.09 cm²
Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14)
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A.
18.84 cm²
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B.
12.56 cm²
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C.
9.42 cm²
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D.
6.28 cm²
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (6 cm)² = 18.84 cm².
Correct Answer: A — 18.84 cm²
Q. What is the area of a square with a side length of 4 m?
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A.
8 m²
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B.
12 m²
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C.
16 m²
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D.
20 m²
Solution
Area = side × side = 4 m × 4 m = 16 m².
Correct Answer: C — 16 m²
Q. What is the area of a trapezoid with bases of 10 m and 6 m, and a height of 4 m?
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A.
40 m²
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B.
32 m²
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C.
24 m²
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D.
36 m²
Solution
Area = 1/2 × (base1 + base2) × height = 1/2 × (10 m + 6 m) × 4 m = 32 m².
Correct Answer: B — 32 m²
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