5. The diameters of two silver discs are in the ratio 2:3. What will be the ratio of the their areas?
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4 : 9
Step-by-step explanation:
diameter of 1st disc = 2 , so radius ,r = 1
diameter of 2nd disc =3 , so radius ,R = 3/2
Area of 1st disc = πr² = π ( 1 )²
Area of 1st disc = π unit²
Area of 2nd disc = πR² = π ( 3/2)²
Area of 2nd disc = 9π/4
so ratio of their areas = πr² : πR²
Ratio = r²: R²
Ratio = 1: 9/4
Ratio = 4 : 9
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