EM-1838

Forming equations from word problems

E Math · Secondary 4 · Hard · Forming equations from word problems

A square has side length 16 cm. Four identical circles of radius

r

cm are drawn inside the square so that each circle touches two sides of the square and its neighbouring circles.

The distance between the centres of two adjacent circles is 8 cm.

Form an equation in

r

and show that it simplifies to

r^2 - 8r + 16 = 0

$r^2 - 8r + 16 = 0$
$r^2 + 8r - 16 = 0$
$r^2 - 16r + 8 = 0$
$r^2 + 16r - 8 = 0$

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