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Category: Geometry

Construct-a-line-segment-of-a-2-units-using-ruler-and-compass-only-when-a-line-segment-of-a-units-is-given-

Question Number 3607 by Rasheed Soomro last updated on 16/Dec/15 $${Construct}\:{a}\:{line}\:{segment}\:{of}\:\boldsymbol{{a}}^{\mathrm{2}} \:{units}\: \\ $$$${using}\:{ruler}\:{and}\:\:{compass}\:{only},\:{when} \\ $$$${a}\:{line}\:{segment}\:{of}\:\boldsymbol{{a}}\:{units}\:{is}\:{given}. \\ $$ Answered by prakash jain last updated on…

Question-68962

Question Number 68962 by ahmadshah last updated on 17/Sep/19 Commented by mr W last updated on 17/Sep/19 $${assume}\:{that}\:{the}\:{volume}\:{of}\:{cone}\:{is}\:\mathrm{1}. \\ $$$${x}={height}\:{of}\:{cone} \\ $$$$\mathrm{1}−\left(\frac{\mathrm{8}}{{x}}\right)^{\mathrm{3}} =\left(\frac{{x}−\mathrm{2}}{{x}}\right)^{\mathrm{3}} \\ $$$${x}^{\mathrm{3}}…

In-the-figure-we-have-7-circles-having-the-same-radius-Determine-the-ratio-between-the-perimeter-of-one-of-the-circle-and-the-perimeter-of-the-gray-region-

Question Number 68930 by Maclaurin Stickker last updated on 17/Sep/19 $$\mathrm{In}\:\mathrm{the}\:\mathrm{figure}\:\mathrm{we}\:\mathrm{have}\:\mathrm{7}\:\mathrm{circles}\:\mathrm{having} \\ $$$$\mathrm{the}\:\mathrm{same}\:\mathrm{radius}.\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{ratio} \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{circle}\:\mathrm{and}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{gray}\:\mathrm{region}. \\ $$ Commented by Maclaurin Stickker last updated…