Area problems
- 1. The area of a circle is 616 sq cm, find its circumference?
Options- A. 44 cm
- B. 88 cm
- C. 22 cm
- D. 176 cm Discuss
Correct Answer: 88 cm
- 2. The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is
Options- A. 972π
- B. 11664π
- C. 36π
- D. 288π Discuss
Correct Answer: 972π
- 3. The four sides of a quadrilateral are in the ratio of 2:3:4:5 and its perimeter is 280m. The length of the longest side is
Options- A. 100m
- B. 150m
- C. 175m
- D. 180m Discuss
Correct Answer: 100m
- 4. In ?ABC, AC = BC and ?ABC = 50°, the side BC is produced to D so that BC = CD then the value of ?BAD is
Options- A. 80°
- B. 40°
- C. 90°
- D. 50° Discuss
Correct Answer: 90°
- 5. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Options- A. 18%
- B. 28%
- C. 38%
- D. 48% Discuss
Correct Answer: 28%
Explanation:
Let original length = x and original breadth = y.
Decrease in area = xy - = (7/25)xy
Decrease % = (7/25)xy * (1/xy) * 100 = 28%
- 6. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options- A. 22
- B. 44
- C. 66
- D. 88 Discuss
Correct Answer: 88
Explanation:
We have: l = 20 ft and lb = 680 sq. ft.So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
- 7. Find the length of the altitude of an equilateral triangle of side 33 cm.
Options- A. 4.5
- B. 3.5
- C. 2.5
- D. 6.5 Discuss
Correct Answer: 4.5
Explanation:
Let the length of the altitude be h.
Then, h =
=
= 4.5
- 8. A square and rectangle have equal areas. If their perimeters are p and q respectively. Then
Options- A. p
- B. p>q
- C. p=q
- D. none of these Discuss
Correct Answer: p
Explanation:
square and a rectangle with equal areas will satisfy the
relation p < q
- 9. An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Options- A. 4.04%
- B. 5.04%
- C. 6.04%
- D. 7.04% Discuss
Correct Answer: 4.04%
Explanation:
100 cm is read as 102 cm
a = 100 x 100 sq.cm and b = 102 x 102 sq.cm
then, Increase in area = [ (102 x 102) - (100 x 100) ] sq.cm
percentage error = = 4.04%
- 10. A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?
Options- A. 16.25
- B. 19.25
- C. 18.25
- D. 17.25 Discuss
Correct Answer: 19.25
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