Area brown exactly in square unit decimal is;
Area triangle with height 2 unit and base (1.93220910506sin(120-atan(2√(3))) unit.
= (1.93220910506sin(120-atan(2√(3)))) cm²
= 1.39230484541 cm²
Notice;
The side length of the regular hexagon is 2 units.
a = ½(2)
a = 1 unit.
a is half the length of the regular hexagon.
b = sin60
b = (√(3)/2) units.
c = sin30
c = ½ units.
d = 1+2(½)
d = 2...
Shaded area exactly in cm² is;
Area triangle with height 84 cm and base 13 cm - Area triangle with height 10 cm and base 24 cm + Area triangle with height (65/12) cm and base 13 cm.
= (½*13*84) -...
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Let the base of the quadrilateral be 1 unit.
a = 180-24-48-30
a = 78°
(1/sin24) = (b/sin78)
b = 2.4048671724 units.
c = 180-48-24-42
c = 66°
(2.4048671724/sin66) = (d/sin66)
d = 2.4048671724 uni...
Let r be the radius of the two congruent inscribed semi circles.
Calculating r.
(2r)² = 2²+(3-2r)²
4r² = 4+9-12r+4r²
12r = 13
r = (13/12) units.
It implies;
Area Shaded is;
Area rectangle with he...
Let p be 2^(a)
Therefore;
(p³+p²)/(p²+8) = 8
8p²+64 = p³+p²
p³-7p² = 64
p²(p-7) = 64
It implies;
p ≠ 7
p = 8
And;
p = 8 = 2^(a)
2^(a) = 2³
a = 3
10^(2a) + 10^(3a) = 36
Let p be 10^(a)
Therefore;
p² + p³ = 36.
It implies;
p = 3
And;
10^(a) = p = 3
a = log3/log10
a = 0.47712125472
Let the side of the regular pentagon be 1 unit.
Therefore;
Area purple is;
Area trapezium with two parallel side 0.07294901687 unit and 0.38196601125 unit, and height cos18 unit.
= 0.5*cos18*(0.07...
Let the side length of the regular heptagon be 1 unit.
a = ⅐(180(7-2))
a = 128.5714285714°
Where a is the single interior angle of the regular heptagon.
b² = 2-2cos128.5714285714
b = 1.8019377358...
