Discussion
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- Question
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
- Correct Answer
- 972π
- 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
- 2. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:5 and area of ?ABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
Options- A. 90
- B. 98
- C. 94
- D. 86 Discuss
- 3. What is the area (in sq cm) of a circle whose circumference is 26.4 cm?
Options- A. 55.44
- B. 44.55
- C. 33.44
- D. 44.33 Discuss
- 4. The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes
Options- A. √245 cm
- B. √255cm
- C. √265cm
- D. √275 cm Discuss
- 5. The length and breadth of a rectangle is in the ratio of 3 : 1. If its perimeter is 96 m, then what is the length of the rectangle?
Options- A. 36m
- B. 24m
- C. 12m
- D. 48m Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Area problems
Search Results
Correct Answer: 88 cm
Correct Answer: 90
Correct Answer: 55.44
Correct Answer: √265 cm
Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras
Correct Answer: 36m
Explanation:
Let the length of the rectangle be 3x and breadth be 1x
Given, perimeter = 96 m
2(l + b) = 96 (or) l + b = 48 (or) 3x + 1x = 48 (or) x = 12 m
Now, Length of the rectangle = 12 x 3 = 36 m
Correct Answer: 100m
Correct Answer: 90°
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%
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.
Correct Answer: 4.5
Explanation:
Let the length of the altitude be h.
Then, h =
=
= 4.5
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