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Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1796969

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Notice; AB = 25 units. cos30 = 8√(3)/a a = 16 units. tan30 = b/(8√(3)) b = 8 units. Let the side of the regular hexagon be c. c = ¼(AC) Calculating AC. ((AC)/sin46) = (25/sin74) AC = 18.70821971213 units. c = ¼(18.70821971213) c = 4.67705492803 units. Calculating r, radius of the circle. (r/sin16) = (25/sin148) r = 13.00374294827 units. Calculating Shaded Area. cos30 = d/4.67705492803 d = 4.05044838257 units. e = 2d e = 8.10089676514 units. tan16 = f/(0.5*25) f = 3.58431732199 uni...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1795516

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Semicircle radius is 5 cm. Circle radius is 4 cm. 5² = (5-x)²+√(16-x²)² 25 = 25-10x+x²+16-x² 10x = 16 x = 16/10 x = (8/5) cm. y = 5-x, and x = 8/5 cm. y = 5-(8/5) y = ⅕(17) cm. PQ is; 2√(5²-(17/5)²) = 2*⅕*4√(21) = ⅕(8√(21)) cm. = 7.33212111193 cm.

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1791002

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a = 180-75-35 a = 70° (12/sin70) = (b/sin35) b = 7.32464753257 cm. c =2*35 c =70° Calculating R, radius of the ascribed bigger circle. d = ½(180-70) d = 55° R is; (R/sin55) = (7.32464753257/sin70) R = 6.38506663486 cm. Calculating r, radius of the inscribed big circle. (r/tan37.5) + (r/tan35) = 7.32464753257 r = 2.68167200695 cm.  (a) Radius Small ÷ Radius Large to 2 decimal places is; 2.68167200695 ÷ 6.38506663486 = 0.41999123272   ≈ 0.42 (b) Calculating Area Orange in cm² to 1 d...

Generous Fatty (Second Part)

https://onlineedumath.websites.co.in/update/generous-fatty-second-part/1790521

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Short Story for Kids written by: Carlos Cebrian González. …Lolo reluctantly went to the seed shop and bought seeds. He explained the project to his parents during dinner and ate only a plate of soup and a piece of omelette with chips. His parents, Josh and Sarah were surprised to see their son so very different from lunch time. Was their son sick?” On Saturday morning, Lolo went to his parents vegetable garden and took the tools that his dad, Josh, lent him. He made different holes to put t...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1789836

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Let the square side be 4 units. Square Area is; 4² = 16 square units. Calculating Area Yellow. It is; 2(area triangle with height and base 2√(2) units respectively - area quarter circle with radius 2 units) + Area circle with radius 1 unit + Area square with side √(2) units + 2(area quarter circle with radius 2 units) - 4(area quarter circle with radius 1 unit - area triangle with height and base 1 unit respectively). = 2(½(2√(2))² - ¼(2²*π)) + 1²*π + (√(2))² + 2(¼(2²*π)) - 4(¼(π) - ½)...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1788090

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Notice; Green regular hexagon's side is 8 cm. sin60 = a/8 a = 4√(3) cm Where a is the the height of the white triangle enclosed by the two green regular hexagon and the regular pentagon. b = 2a b = 8√(3) cm. c = 5+b c = (5+8√(3)) cm. d = 8+4 d = 12 cm. (a) Calculating Radius² exactly. Let r be radius. It implies; r² = 12²+(5+8√(3))² r² = (361+80√(3)) cm² Therefore; Radius, r of the ascribed circle is; √(361+80√(3)) r = 22.3509298376 cm. (b) Calculating area Shaded. e = atan(12/...

Calculating The Diameter of The Circle

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Our Solution. Let the radius of the circle be r. Let x be the perpendicular height from the centre of the circle to the 18 units chord. Let y be the perpendicular height from the centre of the circle to the 14 units chord. Notice; x + y = 8 ---------- (1) It implies; x = √(r²-81) --------- (2) (Observation of Pythagoras rule) It also implies; y = √(r²-49) --------- (3) (Observation of Pythagoras rule) Therefore, calculating r, radius of the circle. Substituting (2) and (3) in (1)....

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1785851

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Let the base of the triangle ascribing the green and yellow area b 1 unit. tan55 = a/1 a = 1.42814800674 units. tan55 = b/(1-b) b = 0.58816349035 unit. Where b is the side of the white and yellow square. c = 1-b c = 0.41183650965 unit. sin55 = d/0.58816349035 d = 0.4817953255 unit. tan35 = 0.4817953255/e Where e is the side of the blue area. e = 0.68807503377 unit. Area Blue is; e² = 0.68807503377² = 0.47344725209 square units. sin35 = 1/f f = 1.74344679562 units. g = f-0.68807503377 g = 1.055...

The Happy Gnome and The Chestnuts

https://onlineedumath.websites.co.in/update/the-happy-gnome-and-the-chestnuts/1785655

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Short Story written by: Obed Madrid Calvo. A gnome who lived in the forest, was at home boiling chestnuts in his cooking pot as it was the soup he really liked. His friend, Mr.Snail appeared at the window and called out to him. – “Good morning Happy Gnome” – greeted the snail. – “Hello Mr. Snail, do you want to taste my chestnut soup?” – said the gnome. – “Mmm, it smells really nice!”- the snail said. Mr. Snail told the gnome about a place in the field where there were many chestnuts....

Playing in The Forest

https://onlineedumath.websites.co.in/update/playing-in-the-forest/1784368

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Short Story written by: Maribel. Today the forest is so lively. Rabbits leave their dens to greet the new day, the moles awake timidly from their lethargy, and get ready to start the day. Small deers have been gamboling for a while over the small bushes, free as the wind that caresses their backs. Little by little, the forest inhabitants appear: sparrows; hares; squirrels; snails; birds; woodpeckers; badgers…all appear little by little filling the forest with light, music and colours where the...
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