Question
The sum of the areas of two circles P and Q is 20020
cm2. If the product of the diameters of both circles P and Q is 12348 cm, then find out the sum of the radius of both of the circles.Solution
Let’s assume the radius of circles P and Q are ‘R’ and ‘r’.
The sum of the areas of two circles P and Q is 20020 cm2.
πxR2 + πxr2  = 20020
Ï€(R2Â Â + r2Â ) = 20020
22/7(R2Â Â + r2Â ) = 20020
(R2Â + r2Â ) = 20020x(7/22)
(R2Â Â + r2Â ) = 6370Â Â Eq.(i)
If the product of the diameters of both circles P and Q is 12348 cm.
2Rx2r = 12348
4Rr = 12348
2Rr = 6174Â Â Eq.(ii)
Sum of the radius of both of the circles = (R+r)
Make a square with the help of a formula.
(R+r)2Â Â = R2Â +r2Â +2Rr
Put Eq.(i) and Eq.(ii) in the above equation.
(R+r)2Â Â = 6370+6174
(R+r)2Â Â = 6370+6174 = 12544
So the sum of the radius of both of the circles = (R+r) = 112 cm
A sum of money paid regularly (typically annually) by a company to its shareholders out of its profits is called as?
What type of economy does India have?
What is Demand Pull Inflation?
With reference to the Global Financial Innovation Network (GFIN), consider the following statements:
I.        It is a consortium of o...
Who among the following founded the city of Ahmedabad?
The contribution made by each sector of the economy to GDP is called what?
What term is used to describe inflation caused by an increase in the cost of production inputs?
Which of the following countries are a part of Group of Seven (G7) countries?
I.        Canada
II.        France
During which Five Year Planning was NABARD established?
Which one of the following is a natural substitute for common sugar?