Answer: C = 53.3 inches
A = 226.1 inches²
Step-by-step explanation:
The inscribed square has equal sides. To determine the hypotenuse of the square which is also the diameter of the circle, we would apply the Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse² = 12² + 12² = 144 + 144 = 288
Hypotenuse = √288 = 16.97 inches
Radius = diameter/2 = 16.97/2 = 8.485 inches
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Circumference = 2 × 3.14 × 8.485 = 53.3 inches
Area = πr²
Area = 3.14 × 8.485² = 226.1 inches²
