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Good explanation on part 1, but remember in part 2, one is circumference another is perimeter, for a semicircle perimeter means PI*r+2r if radius of wholecircle is R then given : PI*R^2 = PI*r+2r how can you conclude R>r?linkinpark wrote:I would go with E,
stmt 1 and 2 essentially give same info i.e. radius of circle is less than that of semi-circle
now consider r1=4 for full circle and r2=8 for semi-circle
a1=area of circle = 16pi and a2=area of semi-circle = 1/2*pi*8^2 = 32pi, in this case a1<a2 but what if r1=4 and r2=5 in that case 16pi > 1/2*pi*25 i.e. 16pi > 12.5pi
so we can't conclude
in stmt2 we're toldmaihuna wrote:Good explanation on part 1, but remember in part 2, one is circumference another is perimeter, for a semicircle perimeter means PI*r+2r if radius of wholecircle is R then given : PI*R^2 = PI*r+2r how can you conclude R>r?linkinpark wrote:I would go with E,
stmt 1 and 2 essentially give same info i.e. radius of circle is less than that of semi-circle
now consider r1=4 for full circle and r2=8 for semi-circle
a1=area of circle = 16pi and a2=area of semi-circle = 1/2*pi*8^2 = 32pi, in this case a1<a2 but what if r1=4 and r2=5 in that case 16pi > 1/2*pi*25 i.e. 16pi > 12.5pi
so we can't conclude
R > r*(2*PI)/(PI+2)linkinpark wrote:in stmt2 we're toldmaihuna wrote:Good explanation on part 1, but remember in part 2, one is circumference another is perimeter, for a semicircle perimeter means PI*r+2r if radius of wholecircle is R then given : PI*R^2 = PI*r+2r how can you conclude R>r?linkinpark wrote:I would go with E,
stmt 1 and 2 essentially give same info i.e. radius of circle is less than that of semi-circle
now consider r1=4 for full circle and r2=8 for semi-circle
a1=area of circle = 16pi and a2=area of semi-circle = 1/2*pi*8^2 = 32pi, in this case a1<a2 but what if r1=4 and r2=5 in that case 16pi > 1/2*pi*25 i.e. 16pi > 12.5pi
so we can't conclude
pi * R + 2R > 2*pi*r i.e. perimeter > circumference
R*(pi+2) > 2*pi*r isn't that sufficient to indicate R > r because 2*pi is definitely > pi + 2
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