Question

Evaluate the formula A = pie r^2 for pie= 22 over 7 and r= 7 over 4 .

Answer 1

\( A = \pi r^2\)

\( \pi = \dfrac{22}{7}\); \(r = \dfrac{7}{4} \)

\( A = \dfrac{22}{7} \times (\dfrac{7}{4})^2 \)

\( A = \dfrac{22}{7} \times \dfrac{49}{16} \)

\(A = \dfrac{22}{1} \times \dfrac{7}{16} \)

\(A = \dfrac{11}{1} \times \dfrac{7}{8} \)

\(A = \dfrac{77}{8} = 9.625\)