Question

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Answer 1

Answer:

Let the radius of the circles be r1

and r2,

So, r +2 = 12 =

r2 = 12-r1

Sum of the areas of the circles =74π

=>πr1²+ πR1²= 74π

=>r12+r2²= 74

=> I2+ (12- r1)² = 74

=>r1²+144-24r1 + r1² = 74

=>2r1²-24r1 +70=0

=>r1²-12r1+35 = 0

=>(r1-7)(r1-5) = 0

=> (r1-7)(r1-5)=0

=> r1=7 or r1 =5

Ir r1= 7 cm, then r2=5 cm

If r1=5 cm, then r2 = 7 cm

So, the diameters of the circles will

10 cm and 14 cm.

Answer 2

Step-by-step explanation:

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