Area problems
- 1. Find the perimeter (in cm) of a semicircle of radius 28 cm.
Options- A. 288
- B. 144
- C. 121
- D. 242 Discuss
Correct Answer: 144
- 2. ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?
Options- A. π (rxr)
- B. 2r
- C. (r + 2)
- D. π (rxr)/2 Discuss
Correct Answer: 2r
- 3. A tent is to be built in the form of a cylinder of radius 10 m surmounted by a cone of the same radius. If the height of the cylindrical part is 5 m and slant height of the conical part is 15 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take ? = 22/7)
Options- A. 4714.43 sq m
- B. 3772.14 sq m
- C. 6783.86 sq m
- D. 2451.42 sq m Discuss
Correct Answer: 2451.42 sq m
- 4. There is a square field of area ?X? square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ?X? ?
Options- A. 548 sq. m
- B. 524 sq. m
- C. 518 sq. m
- D. 554 sq. m Discuss
Correct Answer: 554 sq. m
Explanation:
Volume of the cylindrical ditch = ?rxrh = 22/7 ×7×7×2 = 308 sq.m
Area of remaining field = (X ??rxr) sq.m
= (X ? 154)
ATQ ?
(X ? 154) ×0.77 = 308
(X ? 154) = 400
X= 554 sq.m
- 5. If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
Options- A. 48 cm
- B. 24 cm
- C. 36 cm
- D. 12 cm Discuss
Correct Answer: 24 cm
- 6. In the circle, chord AB is extended to meet the tangent DE at D. If AB = 12 cm and DE = 8 cm, find the length of BD.
Options- A. 4 cm
- B. 5 cm
- C. 6 cm
- D. 7 cm Discuss
Correct Answer: 4 cm
- 7. What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?
Options- A. 22 cm
- B. 16.5 cm
- C. 11 cm
- D. 28 cm Discuss
Correct Answer: 11 cm
- 8. Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?
Options- A. 118
- B. 110
- C. 138
- D. 128 Discuss
Correct Answer: 138
- 9. What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?
Options- A. 3/7
- B. 1
- C. -3/7
- D. -1 Discuss
Correct Answer: -1
- 10. Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.
Options- A. 3118
- B. 3275
- C. 3621
- D. 3465 Discuss
Correct Answer: 3465
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