Total green sector angle is;
atan(3)+atan(⅓)
= 90°
It implies;
210 = ¼(πr²)
Where π is (22/7).
Calculating r, radius of the green sectors.
210*7*2 = 11r²
r = √(2940/11) units.
Where r is also t...
NP = 3 cm.
AN = √(7²-3²)
AN = √(49-9)
AN = 2√(10) cm.
MN = ½(AN)
MN = √(10) cm.
Angle APN = atan(2√(10)/3)
= 64.62306647485°
Angle CPN is;
(180-atan(2√(10)/3))°
Angle CNP is;
½(180-(180-atan(2√...
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We make teaching and learning Mathematics fun for learners, we expose the simplicit...
tan15 = a/4
a = 1.07179676972 cm.
Where a is AD.
b² = 1.07179676972²+4²
b = 4.14110472164 cm.
Where b is DF.
c = 4-1.07179676972
c = 2.92820323028 cm.
Where c is CD.
sin60 = d/2.92820323028
d =...
a = 180-2*8
a = 164°
Where a is angle
AOT, O is the centre of the circle.
Angle ABT is;
½(360-164)
= ½(196)
= 98°
Angle BAT is;
½(180-98)
= 41°
Therefore;
Angle ACT is;
180-41-(180-98)
= 180-4...
a = asin(1/6)
b = 2a
b = 2(asin(1/6))
Where b is angle BAC.
sin(2(asin(1/6))) = c/6
c = ⅓(√(35)) units.
c = 1.97202659437 units.
Where c is BE.
d = 90-2asin(1/6)
d = 70.81186354628°
Where d is an...
Let the side length of the regular heptagon be 1 unit.
a = ⅐(180*5)
a = ⅐(900)°
b = 0.5(360-2(900/7))
b = ⅐(360)°
c = 2cos(360/7)+1
c = 2.24697960372 units.
d² = 2-2cos(90/7)
d = 1....
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We make teaching and learning Mathematics fun for learners, we expose the simplicit...
a² = 11*11+10*10-2*11*10cos50
a = 8.92113926968 cm.
(8.92113926968/sin50) = (10/sinb)
b = 59.16920318624°
c = 180-50-59.16920318624
c = 70.83079681376°
d = 0.5a
d = 4.46056963484 cm.
e² = 4.460...
Let the side length of the regular pentagon be 1 unit.
tan36 = a/0.5
a = 0.363271264 unit.
b² = 0.363271264²+0.5²
b = 0.61803398875 unit.
tan72 = c/0.5
c = 1.53884176859 units.
Area Green is;
0...
