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Area S, exactly in square unit is;
Area triangle with height 2 unit and base (2sin120) unit + Area triangle with height 2 unit and base 2√(2) unit - Area sector with radius 2 unit and angle (30+at...
Notice.
The green circles are congruent (their radius is equal). Let it be r.
Calculating r.
a = (1-r) units.
b = (1+r) units.
c = (1-r-r-r) = (1-3r) units.
It implies;
Observing Pythagoras Rule...
Calculating Red Area.
tana = 5/10
a = atan(½)°
b = 2a
b = 2atan(½)°
tanc = 10/5
c = atan(2)°
d = 2c
d = 2atan(2)°
It implies;
Area Red is;
Area sector with radius 5 units and angle 2atan(2)°...
a² = 2*6²
a² = 72
a = 6√(2) cm.
a is diagonal of the square.
Let r be the radius of the inscribed circle.
It implies;
b² = 2r²
b = √(2)r cm.
Therefore;
4+r+b = a
4+r+√(2)r = 6√(2)
Calculating r....
Area Orange is;
87/10 square unit.
Please, move the above question/figure left, one time to review the solution.
Thank you.
Radius, r of one of the five congruent, inscribed circles is;
8r²+√(3)r-1=0
r = (√(35)-√(3))/16 m.
Therefore;
Total area of the five congruent, inscribed yellow circles is;
5πr²
= 5π( (√(35)-√(3...
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Online Edumath Educators and Learners are Super Smart and Amazingly, Very Clever.
Communicate us to mentor/teach your child/children Mathematics online at affordable tuition, helping them become a l...
Notice;
The semi circle has inscribed quadrilateral which is a cyclic quadrilateral when the semi circle is made a complete circle considering it's diameter.
Calculating Alpha.
Let it be a.
It i...
