Question

Given that a quarter has the area of 1 4 π in2, what is the maximum number of quarters that will fit in a square with an area of 225 in2? Show your work.

Answer 1

Given :- Area of quadrant = 14 π in²
area of square = 225 in²

Solution :-

$area \: of \: sector \: = 14\pi \\ = 14 \times \frac{22}{7} \\ = 44 {in}^{2}$

$no. \: of \: quadrant = \frac{area \: of \: square}{area \: of \: quadrant}$


$no. \: of \: quadrant = \frac{225 {in}^{2} }{44 {in}^{2} } \\ = 5.11$

Approx 5 quarters will fit in the square of area 225 in²