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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions #5199 and #5200 are correct. Fantastic, bobbym!

#5201. Each side of a rhombus is 26 centimeters and one of this diagonals is 48 centimeters. Find the area of the rhombus.

#5202. The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the other diagonal?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions #5201 and #5202 are correct. Excellent!

#5203. If a square and a rhombus stand on the same base, then the ratio of the areas of the square and rhombus is

(1) greater than 1

(2) equal to 1

(c) equal to half

(d) equal to 1/4

#5204. The two parallel sides of a trapezium are 1.5 meters and 2.5 meters respectively. If the perpendicular distance between them is 6.5 meters, find the area of the trapezium.

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

#5205. The area of a circle of radius 5 is numerically what percent of its circumference?

#5206. A man runs round a circular field of radius 50 meters at the speed of 12 kilometers per hour. What is the time taken (approximately) by the man to take 20 rounds of the field?

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

You have missed problems #5203, #5204, #5205 and #5206!

Character is who you are when no one is looking.

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**KCA****Member**- Registered: 2014-08-01
- Posts: 6

Hi,

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi KCA and bobbym,

KCA : The solution #5204 is perfect. Good work!

The solutions #5203, #5204, #5205 and #5206 are correct. Fantastic performance, bobbym!

#5207. Find the circumference of a circle whose area is 24.64 square meters.

#5208. If the circumference and area of a circle are numerically equal, then what is the diameter equal to?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**KCA****Member**- Registered: 2014-08-01
- Posts: 6

Hi Ganesh,

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions #5207 and #5208 are correct. Excellent, bobbym!

#5209. The difference between the circumference and the radius of a circle is 37 centimeters. Find the area of the circle.

#5210. The sum of the areas of two circles A and B is equal to the area of a third circle C whose diameter is 30 centimeters. If the diameter of circle A is 18 centimeters, then find the radius of circle B.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions #5209 and #5210 are correct. Brilliant!

#5211. Between a square of perimeter 44 centimeters and a circle of circumference 44 centimeters, which figure has larger are and by how much?

#5212. A wire is bent in the form of a circle of radius 56 centimeters. If it is bent in the form of a square, then what would its area be?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions #5211 and #5212 are perfect. Extraordinary, bobbym!

#5213. A wire is bent in the form of a square encloses an area of 484 square centimeters. What will be the enclosed area when the same wire is bent into a circle?

#5214. A circular wire of radius 42 centimeters is bent in the form of a rectangle whose sides are in the ratio :5. Find the smaller side of the rectangle.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solution #5213 is perfect. Splendid, bobbym!

#5214. A circular wire of radius 42 centimeters is bent in the form of a rectangle whose sides are in the ratio 6:5. Find the smaller side of the rectangle.

(Inconvenience regretted)

#5215. There is a rectangular tank of length 180 meters and breadth in a circular field. If the area of the land portion of the field is 40000 square meters, what is the radius of the field?

#5216. The areas of two circular fields are in the ratio 16:49. If the radius of the latter is 14 meters, then what is the radius of the former?

#5215.

Character is who you are when no one is looking.

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**Denominator****Member**- Registered: 2009-11-23
- Posts: 155

Hi!

Thanks`

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi Denominator,

The solutions #5124 and #5126 are correct. Marvelous!

#5127. If the ratio of two circles is 4:9, then what will be the ratio of their circumferences?

#5218. The perimeter of a circle is equal to the perimeter of a square. Then, what is the ratio of their area?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions are 2:3 and 14:11 respectively (#5217 and #5218).

#5219. The diameter of a wheel is 1.26 meters. How far will it travel in 500 revolutions?

#5220. What is the number of revolutions of a wheel of diameter 40 centimeters makes in traveling a distance of 176 meters?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solutions #5219 and #5220 are perfect. Remarkable, bobbym!

#5221. The radius of a wheel is 0.25 meter. Find the number of revolutions it will make to travel a distance of 11 kilometers.

#5222. The wheel of an engine

meters in circumference makes 7 revolutions in 9 seconds. Find the speed of the train in kilometers per hour.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

Hi bobbym,

The solution #5221 is perfect, Excellent, bobbym!

#5223. The wheel of a motorcycle, 70 centimeters in diameter, makes 40 revolutions in every 10 seconds. What is the speed of the motorcycle in kilometers per hour?

#5224. Find the diameters of a wheel that makes 113 revolutions to go 2 kilometers 26 decameters.

Character is who you are when no one is looking.

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