IMO Mathematics Olympiad (SOF) Class 10: Questions 709  713 of 958
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Question number: 709
Question
The area of a square and a circle are same. If area of the square is , the distance covered when 4 rounds are taken round the circle (approximately), is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 710
Question
The perimeter of a sector of a circle of radius is The area of the sector is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 711
Question
The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?
Choices
Choice (4)  Response  

a.  100 

b.  243 

c.  280 

d.  110 

Question number: 712
Question
If the radii of the circular ends of a bucket of height are of lengths and , then the volume of the bucket in cubic centimeters, is________.
Choices
Choice (4)  Response  

a.  24556 

b.  25454 

c.  12555 

d.  21560 

Question number: 713
» Triangle, Circle & Constructions
Question
Give Below are the steps of construction of a pair of tangents to a circle of radius from a point on the concentric circle of radius . Find which of the following step is wrong?

Step1: Take a point O on the plane paper and draw a circle of radius Also, draw a concentric circle of radius

Step2: Find the midpoint A of OB and draw a circle of radius suppose this circle intersects the circle of radius at P and Q.

Step3: Join BP and BQ to get the desired tangents.
Choices
Choice (4)  Response  

a.  1 and 2 

b.  Only 2 

c.  2 and 3 

d.  Only 1 
