Geometry – Page 291

A-square-whose-area-is-s-2-contains-a-semicircle-of-possible-largest-area-Determine-radius-of-the-semicircle-

Tinku Tara June 3, 2023 Geometry 0 Comments

Question Number 3836 by Rasheed Soomro last updated on 22/Dec/15 $A s q u a r e, w h o s e a r e a i s s^{2}, c o n t a i n s$ $a s e m i c i r c l e o f p o s s i b l e l a r g e s t a r e a .$ $D e t e r m i n e r a d i u s o f t h e s e m i c i r c l e .$ Commented by Yozzii last updated on 24/Dec/15…

Draw-a-rectangle-of-maximum-perimeter-by-ruler-and-compass-when-area-is-ab-AB-a-CD-b-are-given-

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Question Number 3830 by Rasheed Soomro last updated on 21/Dec/15 $D r a w a r e c t a n g l e o f m a x i m u m p e r i m e t e r,$ $b y r u l e r a n d c o m p a s s, w h e n a r e a i s ab .$ $(AB = a, CD = b are given .)$ Commented by prakash jain last updated on 22/Dec/15…

Consider-a-triangle-ABC-Let-D-and-E-are-two-points-on-AB-and-AC-respectively-such-that-DE-BC-Now-there-are-two-parts-of-ABC-ADE-and-trapizoid-DBCE-If-these-two-regions-have-same-area-W

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Question Number 3823 by Rasheed Soomro last updated on 21/Dec/15 $C o n s i d e r a t r i a n g l e ABC . L e t D a n d E$ $a r e t w o p o i n t s o n AB a n d AC r e s p e c t i v e l y$ $s u c h t h a t DE ∥ BC . N o w t h e r e a r e t w o$ $p a r t s o f △ ABC : △ ADE a n d t r a p i z o i d$ $DBCE . I f t h e s e t w o r e g i o n s h a v e s a m e a r e a$ $W h a t w i l l b e t h e r a t i o o f t w o d i s t a n c e s :$ $(i) d i s t a n c e o f DE f r o m p o i n t A a n d$ $$\left({ii}\right)\:{distance}\:{between}\:\mathrm{BC}\:{and}\:\mathrm{DE}\:\:?…

A-chord-divides-the-circle-in-two-segments-having-areas-s-1-and-s-2-If-diameter-perpendicular-to-this-chord-is-cut-into-1-3-by-the-chord-what-is-s-1-s-2-

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Question Number 3808 by Rasheed Soomro last updated on 21/Dec/15 $A c h o r d d i v i d e s t h e c i r c l e i n t w o$ $s e g m e n t s, h a v i n g a r e a s s_{1} a n d s_{2} .$ $I f d i a m e t e r, p e r p e n d i c u l a r t o t h i s$ $c h o r d i s c u t i n t o 1 : 3 b y t h e c h o r d, w h a t i s s_{1} : s_{2} ?$ …

Question-69272

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Question Number 69272 by TawaTawa last updated on 22/Sep/19 Answered by $@ t y @ m 123 l a s t u p d a t e d o n 22 / S e p / 19$ $L e t ∠ D P C = θ$ $$ \Rightarrow ∠ Q = θ - 30$ $L e t C P = x$ $I n △ D C P,$ $$\mathrm{tan}\:\theta=\frac{\sqrt{\mathrm{3}}}{{x}}\:…\left(\mathrm{1}\right)…

Derive-a-formula-of-volume-of-right-circular-cone-when-the-formula-of-volume-of-cyllinder-is-given-

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Question Number 3714 by Rasheed Soomro last updated on 19/Dec/15 $D erive a formula of volume of right circular cone$ $when the formula of volume of cyllinder is given .$ Answered by Filup last updated on 19/Dec/15 $I^{'} m not sure how to answer the question$ $$\mathrm{given}.\:\mathrm{But}\:\mathrm{I}\:\mathrm{can}\:\mathrm{show}\:\mathrm{it}\:\mathrm{this}\:\mathrm{way}:…

What-is-the-equation-of-a-circle-that-goes-through-points-0-1-1-4-and-5-2-

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Question Number 134772 by bramlexs22 last updated on 07/Mar/21 What is the equation of a circle that goes through points (0,1), (1,4), and…

Can-we-say-that-A-line-is-a-circle-whose-radius-is-Or-A-circle-with-radius-is-a-line-

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Question Number 3695 by Rasheed Soomro last updated on 19/Dec/15 $C a n w e s a y t h a t$ $A l i n e i s a c i r c l e w h o s e r a d i u s i s \infty$ $O r$ $A c i r c l e w i t h \infty r a d i u s i s a l i n e ?$ Commented by Filup last updated on…

Lets-say-we-have-an-n-gon-All-sides-are-equal-When-n-3-interior-angles-180-3-60-n-4-360-4-90-n-t-180-t-2-t-For-a-circle-essentially-an-gon-n-180lim-t-t

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Question Number 3662 by Filup last updated on 18/Dec/15 $Lets say we have an n - gon .$ $All sides are equal .$ $When n = 3, interior angles θ = \frac{180}{3}$ $θ = 60 °$ $n = 4, θ = \frac{360}{4} = 90 °$ $$\vdots \…

Question-69192

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Question Number 69192 by TawaTawa last updated on 21/Sep/19 Answered by mr W last updated on 21/Sep/19 $l e t ∠ B A D = α$ $s i d e l e n g t h = a$ $\frac{a}{\sin (60 + α)} = \frac{3}{\sin α} \dots (i)$ $$\frac{{a}}{\mathrm{sin}\:\left(\mathrm{60}+\mathrm{30}−\alpha\right)}=\frac{{a}}{\mathrm{cos}\:\alpha}=\frac{\mathrm{5}}{\mathrm{sin}\:\left(\mathrm{30}−\alpha\right)}\:\:\:…\left({ii}\right) \…

Category: Geometry