This is Online Edumath website created by Ogheneovo Daniel Ephivbotor.
Online Edumath falls in EDUCATION line of business.
You can visit us offline at our office located at : Lugbe, Federal...
The Management and Educators of Online Edumath kindly appreciate your words of affirmation and encouragement, Sir Bill. We are grateful!
We pledge to keep working hard as we mentor/educate our lea...
Online Edumath Educators and Learners are Super Smart and Amazingly, Very Clever.
Communicate us to mentor/teach/educate your child/children Mathematics online at affordable tuition, helping them be...
Mr. Daniel is one of our Educators, He is a certified, hardworking, dedicated and passionate Mathematics Educator that aim at taking the sincere, profound knowledge of Mathematics to the comfort of...
The radius, r if the small circle will be;
(5+r)²=2(5-r)²
25+10r+r²=50-20r+2r²
Therefore
r²-30r+25=0
(r-15)²=-25+225
r = 15±√(200)
r = 15±10√(2)
It implies;
r ≠ 15+10√(2)
r = 15...
Sir Mike Ambrose is the author of the question.
Notice!
AB = BC
Calculating AB.
AB = (20sin60)/sin104
AB = BC = 17.85075169007 cm.
Calculating BD
BD = (20sin16)/sin104
BD = 5.6815...
Let the side length of the inscribed green square be a.
b = ½(10-a) units.
c = b+a
c = ½(10-a+2a)
c = ½(10+a) units.
Therefore, a² (area green inscribed triangle) is;
10² = a²+(½(10+a...
Let OC be a.
Let the radius of the inscribed blue half circle be b.
Calculating area inscribed blue half circle.
20² = 2c²
c = √(200)
c = 10√(2) units.
d = ½(c)
d = 5√(2) units.
d i...
Let the side length of the two congruent inscribed squares be 1 unit each.
a² = 1+2²
a = √(5) units.
a is the radius of the half circle.
tanb = (½)
b = atan(½)°
(√(5)/sin(atan(½))) = (...
Let alpha be a.
Let AB be b.
tana = 2/b --- (1).
tana = b/(2+6)
tana = b/8 --- (2).
Equating (1) and (2).
2/b = b/8
b² = 16
b = 4 units.
Again, b is AB.
Therefore, the requir...
