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
Select the CORRECTLY spelt word.
Global commodities have witnessed a bull run over the last 12 months, revival hopes of the beginning of the next super cycle in commodity prices.
... Choose the correct phrase from the options to improve the sentences given below. If the sentence is correct and no improvement is required, select �...
In the question given below, three sentences are given with one phrase bold in each. From the options given choose the one with the phrase that can rep...
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substi...
In order to make the drug widely available and easily accessible so that treatmenting can be starting early, the drug was moved from Schedule X to Sched...
In the question given below, three sentences are given with one phrase bold in each. From the options given choose the one with the phrase that can re...
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substi...
Select the phrase from the options below that should replace the underlined phrase in the sentence to make it grammatically and contextually correct. I...
From the options given below, select the option which states the correct combination of incorrect sentences.
(i) Data consumption and data gener...