Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
4th March, 2024

Radius, r of the six congruent inscribed circles each is;


3r = 7

r = (7/3) units.


Radius, R of the ascribed circle is;


R = ½(6r)

And r = (7/3) units.

R = ½*6*(7/3)

R = 7 units.


Therefore, Area Orange is;


Area ascribed circle with radius 7 units - 6(area circle with radius (7/3) units)

= 7²π-6(7/3)²π

= 49π-⅓(98π)

= ⅓(147π-98π)

= ⅓(49π) square units.

= 51.3126800086 square units.

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