the diameter of two silver discs are in the ratio 2 ratio 3 what will be the ratio of their areas
Answers
It is 2:3
now we will see how...
d1=2x
d2=3x
r1( radius)= 2x/2
r2=3x/2
area of a circle= πr^2
ratio of areas = πr1^2/πr2^2
= π(2x/2)^2/π(3x/2)^2
=(2x/2)^2/(3x/2)^2
=(4x^2/4)/(9x^2/4)
= 4x^2*4/9x^2*4
= 4/9=2/3( since 4 , x^2 gets cancelled with their counterparts in the denominator)
Therefore the ratio is 2:3.
hope it helps!!!
Answer:
Step-by-step explanation:
As radius is 1/2 diameter, the ratio of the radii of the two circles will also be 2:3.
Let the radii of two circles be 2x and 3x respectively.
Area of first circle:
Area of second circle:
Ratio of the area of both circles:
Hence ,the ratio of areas of two circular discs are 4:9.
_____________________________