Let the side of the regular hexagon which is equal the side of the square be 1 unit.
a = ½(180-108)
a = 36°
tan36 = b/0.5
b = 0.363271264 unit.
Area Blue is;
0.5*0.363271264*0.5
= 0.090817816 s...
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Let the single side length of the two congruent inscribed regular pentagon be 1 unit.
Area Green is;
0.5*5(1/(2tan(180/5)))
= 1.72047740059 square units.
Calculating Area Shaded.
a = ⅕(180*3)
=...
Math in Daily Life: When am I ever going to use Math?
The truth is that we use math all the time!
It is pertinent to note how one experiences mathematical applications in daily life from the time on...
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Educators;
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We are sma...
Let the radius of the inscribed green circle be r.
Calculating r.
(1-r)² = 2(r)²
1-2r+r² = 2r²
r²+2r-1 = 0
(r+1)² = 2
r = (√(2)-1) cm.
Therefore;
Area green inscribed circle is;
πr²
= π(√(...
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Our Solution.
Let the radius of the semi circle be r.
Calculating r.
It implies;
(r-5)² = 5²+(r-6)²
r²-10r+25 = 25+r²-12r+36
-10r = -12r+36
2r = 36
r = 18 units.
Blue Area is;
Area semi ci...
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Let the inscribed regular pentagon side be 1 unit.
Area small/inscribed pentagon is;
0.5*5(1/(2tan(180/5)))
= 1.72047740059 square units.
Calculating Shaded Area.
a² = 2-2cos(60+108)
a = 1.9890...
