Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
5th August, 2026

Calculating Area Circle.


Let x be the radius of the circle.


a² = 4

a = 2 m.

a is the side length of the small square.


b² = 16

b = 4 m.

b is the side length of the big square.


c = (x-2) units.


It implies;


(x-2)²+6² = x²

x²-4x+4+36 =x²

4x = 40

x = 10 m.

Again, x is the radius of the circle.


Or


d = (x-4) m.


It implies;


(x-4)²+8² = x²

x²-8x+16+64 = x²

8x = 80

x = 10 m.

x is the radius of the circle.


Therefore, area circle is;


πx²


10²*π


= 100π m²

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