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Area problems
1. The circumference of a circle is 88 cm, find its area?
Options
A. 616 sq cm
B. 308 sq cm
C. 154 sq cm
D. 77 sq cm
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Correct Answer: 616 sq cm
2. The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?
Options
A. 2
B. 3
C. 4
D. 5
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Correct Answer: 4
3. If the radius of a circumscribed circle in an equilateral triangle is 14 cm. Then what will be the radius (in cm) of the inscribed circle?
Options
A. 7
B. 14
C. 28
D. 35
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Correct Answer: 7
4. What is the measure (in degree) of an exterior angle of a regular polygon of 9 sides?
Options
A. 36
B. 40
C. 30
D. 24
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Correct Answer: 40
5. ? DEF is right angled at E. If m?D = 30°, what is the length of DE (in cm), if EF = 6?3 cm?
Options
A. 18
B. 12?3
C. 18?3
D. 12
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Correct Answer: 18
6. The length and breadth of a rectangle are 24 cm and 7 cm respectively. Calculate its perimeter (in cm).
Options
A. 124
B. 48
C. 62
D. 96
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Correct Answer: 62
7. What is the reflection of the point (-0.5, 6) in the x-axis?
Options
A. (0.5, -6)
B. (-6, -0.5)
C. (6, -0.5)
D. (-0.5, -6)
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Correct Answer: (-0.5, -6)
8. The areas of two similar triangles ?ABC and ?PQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?
Options
A. 16
B. 12
C. 8
D. 6
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Correct Answer: 8
9. If the perimeter of a semi-circle is 108 cm, then find its radius (in cm).
Options
A. 42
B. 28
C. 56
D. 21
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Correct Answer: 21
10. If the length of the side of an equilateral triangle is 8 cm, what is its area?
Options
A. 32?3 sq cm
B. 16 sq cm
C. 16?3 sq cm
D. 32 sq cm
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Correct Answer: 16?3 sq cm
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rule-detection