Areas Quiz Set 004

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Question 1

A largest possible circle is cut out of a square sheet having a side of 6 meter. What is the area of the hollow sheet?

 A

36 - 9π sq. m.

 B

6 + 18π sq. m.

 C

6 + 81π sq. m.

 D

36 - 4.5π sq. m.

Soln.
Ans: a

The radius of the circle is 6/2 = 3 m. So its area = π × 3 × 3 = 9π sq. m. The left area is $6^2 - 9$π = $36 - 9$π sq. m.


Question 2

What is the area of the largest circle that can fit completely inside a square of side 18 meters?

 A

81π sq. m.

 B

162π sq. m.

 C

6561π sq. m.

 D

40.5π sq. m.

Soln.
Ans: a

The radius of such a circle is 18/2 = 9 m. So its area = π × 9 × 9 = 81π sq. m.


Question 3

The length and breadth of a rectangular area are in the ratio 9 : 2. What is the length of the field if a car travelling at 10 km/h covers one round of the rectangle in 132 minutes?

 A

9 km.

 B

11 km.

 C

7 km.

 D

13 km.

Soln.
Ans: a

Let L = 9x and B = 2x. Perimeter = 2 × (9x + 2x) = speed × time = (10 × 132)/60 = 22 km. So x = 1, and L = 9x = 9 km.


Question 4

What is the area of the largest circle that can fit completely inside a square of side 4 meters?

 A

4π sq. m.

 B

8π sq. m.

 C

16π sq. m.

 D

2π sq. m.

Soln.
Ans: a

The radius of such a circle is 4/2 = 2 m. So its area = π × 2 × 2 = 4π sq. m.


Question 5

What is the length of the fence required if a square plot of area 1156 sq. m. has to fenced on three sides?

 A

102 meters.

 B

104 meters.

 C

100 meters.

 D

106 meters.

Soln.
Ans: a

Area of a square is L2 = 1156, which gives L = 34. If three sides have to be fenced, the required length = 3 × L = 3 × 34 = 102 m.


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This Blog Post/Article "Areas Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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