Math, asked by lewinshajose, 7 months ago

The diameters of two given circles are in the ratio 12 : 5 and the sum for their areas is equal to the area of a circle of diameter 65 cm. what are their radius ?

Answers

Answered by ashauthiras
2

Answer:

325/34cm

Step-by-step explanation:

area of circle having radius

65/2 cm=πr²

=22/7(65/2)²

=π×65×65/4

now if the ratio of diameters of two circles is 12:5

the ratio of their radius also12:5

let their radius are 12x,5x

sum of their areas

= 22/7(12x+5x)²

=π×17×17x²

=π×65×65/2×2

=x²=65²/(17²×4)

x=√65²/√17²√2²

=65/(17×2)

=65/34

12x=12×65/34

=6×65/17=

390/17cm

5x=5×65/34

=325/34cm

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