Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
26th January, 2024

3A = ¼(9*9)π

Where;

3A is the sum of the inscribed three equal areas.

¼(9*9)π is the area of the ascribed quarter circle.


It implies;


12A = 9*9π

A = (27/4)π cm²

A is an area of the three equal areas that are inscribed the quarter circle.


Notice.


r, radius of the quarter circle is 9 cm.

Poo9

Calculating x.

a = (9-x) cm.

a is the radius of the inscribed quarter circle.


It implies;


¼(9-x)²π = (27/4)π

(9-x)² = 27

9-x = 3√(3)

9-3√(3) = x

x = 3(3-√(3)) units.

x = 3.8038475773 units.

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