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Let the inscribed square side be 2 units.
Area Orange is;
2²
= 4 square units.
a² = 2²+1²
a = √(5) units.
a is the radius of the inscribed arc.
Calculate Green Area.
(√(5)/sin120) =...
Let the radius of the semi circle be 1 unit.
cos60 = a/1
a = ½ units.
sin60 = b/1
b = √(3)/2 units.
Where b is the side length of the square.
Area Square is;
(√(3)/2)²
= ¾ square units.
= 0.75 sq...
Sir Mike Ambrose is the author of the question.
Let the radius of the congruent circles be 1 unit.
Therefore a side of the regular pentagon is;
1/(2sin54) unit.
It implies;
Angle Alpha is;
2(asin(...
Sir Mike Ambrose is the author of the question.
Let Alpha be x.
Calculating x;
½(180-atan2)-atan(0.5)
x = ½(90-atan(0.5))
It implies;
tan x exactly is;
= tan(½(90-atan(0.5)))
Calculating Area Oran...
Our certified, experienced, resilient, productive and committed Math Educators will be glad to be at your service.
We make teaching and learning Mathematics fun for learners, we expose the simplicit...
Sir Mike Ambrose is the author of the question.
Notice;
Side length of the congruent regular hexagon is 2 units.
(a) Calculating
Length Blue ÷ Length Red.
Length Blue is;
Let it be x.
4²=2²...
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Video 98. Class with Oghosa (year 8) 28/09/2023
https://www.facebook.com/100085657...
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Thank you.
Video 103. Class with Derick and Zino (year 7 and year 6 respectively) 03/10/2023...
Sir Mike Ambrose is the author of the question.
Calculating k.
3k² = 108
k = 6 units.
The equation of the curve is;
y = 4x-⅓(x²)
Area R is;
Area under the curve at x=0 and x=(6-3√(2)).
= 2(6-3√(2)...
