Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
28th February, 2024

Calculating r, radius of the smaller semi circle.

Radius of the bigger semi circle a, is;


a = ½(3+7+2)

a = 6 units.


6² = r²+b²

36-r² = b²

b = √(36-r²) units.


c = 6-3.5-2

c = 0.5 units.


b² = d²+0.5²

√(36-r²)² = d²+0.25

d² = 36-0.25-r²

d² =35.75-r²

d = √(35.75-r²) units.


r² = d²+3.5²

r² = √(35.75-r²)²+3.5²

2r² = 35.75+12.25

2r² = 48

r² = 24

r = √(24)

r = 2√(6) units.

r = 4.8989794856 units.

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