Bissoy.com
Doctors Medicines MCQs Q&A

Two small circular parks of diameter 16 meter and 12 meter are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park has to occupy the same space as the two small parks?

Two small circular parks of diameter 16 meter and 12 meter are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park has to occupy the same space as the two small parks? Correct Answer 10 meter

 We know,Area of circle, A = πr²  diameter of first circle  = 16m   ∴ radius =  16 2m = 8m  ∴  Area of first circle, A₁ = π x 8²= π x 64 = 201m² diameter of second circle    = 12m   ∴  radius = 12 2m = 6m  Area of second circle, A₂ = π x 6²= π x 36 = 113m²Sum of two circle, 201m² + 113m² = 314m²According to question, Large Circle:314= πr²r² = 314 πr² =314 3.14   [∵ π = 3.14]r² = 100r = √100r = 10m

Related Questions

Two small circular parks of diameters 16 m and 12 m are to be replaced by a Bigger circular park. What would be the radius of this new park. If the new park has to occupy the same space as the two small parks ?
Two circular football grounds of radius 42 m and 35 m are to be replaced with a bigger circular ground. What would be the radius of this new ground if the new ground has the same area as the sum of the two small grounds?
Two small circular grounds of diameters 42 m and 26 m are to be replaced by a bigger circular ground. What would be the radius of the new ground if the new ground has the same area as two small grounds?
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. When the kerosene burned, the fuel in the tank below would be __________ pressure, and __________a small circular flame would appear in the burner.The valve had to be opened to let more kerosene vapour to the burner and pumping resumed. With the increase in pressure, the burner flame would spread _________ a loud noise. To lower the flame,the valve had to be _________ opened to reduce the pressure and then tightened until the desired flame size was achieved. _________ you wanted the flame to be bigger, you had to hit the piston again. Pump stoves are still in vogue. and __________ a small circular flame
In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of thefour alternatives. When the kerosene burned, the fuel in the tank below would be __________ pressure, and __________ a small circular flame would appear in the burner. The valve had tobe opened to let more kerosene vapour to the burner and pumping resumed. With the increase in pressure, the burner flame would spread _________ a loud noise. Tolower the flame, the valve had to be _________ opened to reduce the pressure and then tightened until the desired flame size was achieved. _________ you wanted theflame to be bigger, you had to hit the piston again. Pump stoves are still in vogue. and __________ a small circular flame
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of  width of gravelled path. Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut? Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. 
A small ring of negligible thickness and radius 2 cm moves on a bigger rung of radius 10 cm. How many rotations will the small ring take on the bigger ring to make a complete round ?
Given below are two quantities named A and B. Based on the given information, you have to determine relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. Quantity A: Number of hemispheres that can be formed by melting a sphere having volume equal to the volume of right circular cylinder whose diameteris 6 cm and height is 4 cm. Also, radius of hemisphere formed is half the radius of sphere from which the hemisphere is formed. Quantity B: Number of ice cream cones that can be made from a right circular cylinder shape ice cream container having radius 6 cm and height 5 cm. Ice cream cone to be made should have height 4 cm and slant height 5 cm and there should be a hemisphere made on top of the cone having radius equal to the radius of cone.
In this question, a passage and a related statement have been given. Read the passage carefully and assess the statement based on it. Using knives and screws, two Russian astronauts on Tuesday took a sample of substance around a mysterious cavity of the spacecraft called the Soyuz, which was placed in the International Space Station, a Moscow official suggested that it was a break - It can also be done. In August, two months after the last visit of the vehicle, the air leak was detected in the Soyuz spacecraft due to the 2 mm air in the ISS. Roskosmos, an astronomical institute, says that cutting off the insulation on the hole and sampling the material around it and the purpose of putting a new insulation on it is to find out that this small but dangerous hole has been done on earth or Is in space. The chief of Roskosmos has said that the error of manufacturing has not been found in the investigation. Experienced astronauts had to struggle but they managed their mission. Before the spacewalk, astronauts were able to inspect the hole just from within the spacecraft. The biggest difficulty was that in the Soyuz spacecraft, the ISS was not designed to improve during adverse weather space, and no railing was also made to catch the space passengers outside the vehicle. Statement: In the Soyuz spacecraft, the air leak due to the presence of the leak was detected after two months of the last visit. Select the appropriate from the given options A - Statement is completely true B - The statement is possibly true C - the statement can not be determined D - Statement is completely false