Question

. Determine the area of the square inscribed in a circle with a circumference of 20 cm.

Answer 1

Answer:

$\frac{4900} {121} \: \: \: {cm}^{2}$

Step-by-step explanation:

$circumference = 2 \times \pi \times r = 20 \\ \\ r = \frac{20}{2\pi} = \frac{10 \times 7}{22} = \frac{35}{11} \: cm \\ \\ area \: of \: square = {diameter}^{2} \\ = {(2 \times \frac{35}{11} )}^{2} \\ \\ = \frac{70}{11} \times \frac{70}{11} \\ \\ = \frac{4900} {121} \: \: \: {cm}^{2}$