Question

A quarter circle is attached to the side of a square as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.

82.2 cm²
114.2 cm²
164.5 cm²
268.1 cm²

Answer 1

$area \: of \: figure = area \: of \: square + area \: of \: quarter \: circle \\ = 8 \times 8 + \frac{1}{4} \times 3.14 \times 8 \times 8 \\ = 64(1 + \frac{3.14}{4} ) \\ = 64 \times (1 + 0.785) \\ 64 \times 1.785 \\ = 114.24 {cm}^{2}$

Answer 2

hope this helps you quickly