the ratio of areas of circle A to circle b is 5 ratio 4 if the radius of circle b is 28 cm what is the area of circle A
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bro answer is given in the pic ok
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Given :-
● The ratio of areas of circle A to Circle B is 5 ratio 4
● The radius of circle b is 28cm
Solution :-
Let the radius of circle A be r
Now,
According to the question,
Area of circle A / Area of circle B = 5/4
As we know that,
Area of circle = πr^2
Therefore,
Area of circle A = π * r * r = πr^2
Area of circle B = π * 28 * 28 = 784π
As it is given in the question,
πr^2/784π = 5/4
r^2 / 784 = 5/4
r^2 = 5/4 * 784
r^2 = 5 * 196
r^2 = 980
r = √980
r = 31.3cm
Hence, The radius of the circle A is 31.3cm
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