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Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2388366

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Calculating r, radius of the quarter circle. a = (r-2) units. Therefore; r² = b²+(r-2)² r²-(r²-4r+4) = b² b² = 4r-4 b = √(4r-4) units. c = (r-4) units. Therefore; r² = d²+(r-4)² r²-(r²-8r+16) = d² d² = 8r-16 d = √(8r-16) units. e² = 2r² e = √(2)r units. It implies; e² = f²+2² (√(2)r)²-2² = f² f² = 2r²-4 f = √(2r²-4) units. Notice; b+d = f √(4r-4)+√(8r-16) = √(2r²-4) (4r-4)+2√((4r-4)(8r-16))+(8r-16) = 2r²-4 12r-16+2√((4r-4)(8r-16)) = 2r² 2√((4r-4)(8r-16)) = 2r²-12r+16 √((4r-4)(8r-16)) = r²-...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2385212

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Let the radius of the bigger green quarter circle be 1 unit. Let the radius of the smaller green quarter circle be a. Let the radius of the circle be b. It implies; b² = 1²+a²-2acos45 b² = 1+a²-√(2)a  b = √(1+a²-√(2)a) units. c² = 2-2cos45 c = √(2-√(2)) units. d = ½(1-a) units. e = d+a e = ½(1-a)+a e = ½(1-a+2a) e = ½(1+a) units. Calculating a. c² = e²+d² √(2-√(2))² = (½(1+a))²+(½(1-a))² 2-√(2) = ¼(1+2a+a²)+¼(1-2a+a²) 2-√(2) = ¼(2+2a²) 4-2√(2) = 1+a² a² = 3-2√(2) a = √(3-2√(2)) units....

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2385179

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Notice! Area Yellow is an equilateral triangle with side 2 units. Therefore, area yellow is; ½*2*2sin60 = √(3) square units. Calculating red area. It is; 2(area quarter circle with radius 2 units) - 2(Area sector with radius 2 units and angle 60° - Area triangle with height 2 units and base 2sin60 units) - Area sector with radius 2 units and angle 60° = 2(¼*2*2π)-2((60π*2*2/360)-(½*2*2sin60))-(60π*2*2/360) = 2π-2(⅓(2π)-√(3))-(⅓(2π)) = 2π-⅓(4π)+2√(3)-⅓(2π) = 2π-2π+2√(3) = 2√(3) square uni...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2384618

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Calculating p. 2² = (½(3p)+p)²+(½(p))² 4 = (5p/2)²+(p/2)² 4 = (25p²/4)+(p²/4) 4 = ¼(26p²) 16 = 26p² p = √(16/26) p = √(8/13) units. p = 0.7844645406 units. It implies; a = ½(3p) a = 0.5*3*0.7844645406 a = 1.1766968108 units. a is the radius of the bigger semi circle. b = ½(p) b = 0.5*0.7844645406 b = 0.3922322703 units. b is the radius of the two congruent semi circles. c = p c = 0.7844645406 units. c is the radius of the quarter circle. Therefore, shaded area is; Area semi circle with r...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2384366

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Let the side of the ascribed regular hexagon be 1 unit. a = ⅙(180(6-2)) a = 120° a is the single interior angle of the ascribed regular hexagon. b² = 1²+1²-2*1*1cos120 b = √(3) units. b is the height of the ascribed regular hexagon. c = ½(b) c = ½(√(3)) units. cos60 = d/1 d = ½ units. e = 2d+1 e = 2*½+1 e = 2 units.   It implies, area ascribed regular hexagon is; 2(½(1+2)*½(√(3))) = 2(½*3*½*√(3)) = ½(3√(3)) square units. = 2.5980762114 square units. Calculating area inscribed red regul...

We are smart and clever!

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Online Edumath Educators and Learners are Super Smart and Amazingly, Very Clever. Communicate us to mentor/teach/educate your child/children Mathematics online at affordable tuition, helping them become a lover of Mathematics, and also, a Mathematician. Call/WhatsApp: +2349076614992 or +2348152827445 Email: [email protected] [email protected] [email protected] Facebook Page: Online Edumath We are super smart and amazingly, very clever!

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2380510

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Calculating area green. tana = 4/8 a = atan(½)° b = 2a b = 2atan(½)° tanc = 8/4 c = atan(2)° d = 2c d = 2atan(2)° It implies, area green is, 2(area sector with radius 4 units and angle 2atan(2)° - area triangle with height 4 units and base 4sin(2atan(2)) units + area sector with radius 8 units and angle 2atan(½)° - area triangle with height 8 units and base 8sin(2atan(½)) units) - 2(area quarter circle with radius 4 units - area triangle with height and base 4 units respectively). 2((2a...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2380295

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Calculating yellow area. It is; 2(area quarter circle with radius 4 units - area triangle with base and height 4 units respectively - area quarter circle with radius 3 units + area triangle with base and height 3 units respectively). = 2(¼(4*4)π-½(4*4)-¼(3*3)π+½(3*3)) = 2(4π-8-¼(9π)+½(9)) = 2(¼(7π)-½(7)) = 2(¼(7π-14)) = ½(7π-14) square units.

We are smart and clever!

https://onlineedumath.com/update/we-are-smart-and-clever/2379330

we-are-smart-and-clever_1708856923HW4t1h.jpeg
Online Edumath Educators and Learners are Super Smart and Amazingly, Very Clever. Communicate us to mentor/teach/educate your child/children Mathematics online at affordable tuition, helping them become a lover of Mathematics, and also, a Mathematician. Call/WhatsApp: +2349076614992 or +2348152827445 Email: [email protected] [email protected] [email protected] Facebook Page: Online Edumath We are super smart and amazingly, very clever!

We are smart and clever!

https://onlineedumath.com/update/we-are-smart-and-clever/2376544

we-are-smart-and-clever_1708682687Qdnaiz.jpeg
Online Edumath Educators and Learners are Super Smart and Amazingly, Very Clever. Communicate us to mentor/teach/educate your child/children Mathematics online at affordable tuition, helping them become a lover of Mathematics, and also, a Mathematician. Call/WhatsApp: +2349076614992 or +2348152827445 Email: [email protected] [email protected] [email protected] Facebook Page: Online Edumath We are super smart and amazingly, very clever!
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