The diameters of two circular plates are respectively 10 cm and 24 cm. What is the diameter of a plate which has area equal to the combined area of the two given plates?
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let,R be the radius of larger circle
r1=5cm
r2=12 cm
pie r1^2+pie r2^2=pie R^2
pie (r1^2+r2^2)=pie R^2
r1^2+r2^2=R^2 (pie gets cancelled in the above step)
10^2+12^2=R^2
100+144=R^2
169=R^2
R=13cm
therefore,diameter=13×2=26
ans=26 cm
r1=5cm
r2=12 cm
pie r1^2+pie r2^2=pie R^2
pie (r1^2+r2^2)=pie R^2
r1^2+r2^2=R^2 (pie gets cancelled in the above step)
10^2+12^2=R^2
100+144=R^2
169=R^2
R=13cm
therefore,diameter=13×2=26
ans=26 cm
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6
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