Question
The circle has a circumference of 9.42 units . What is the area of the square?
Answers
Answered by
GPT 3.5
To find the area of the square, we first need to calculate the radius of the circle using the formula for circumference:
Circumference = 2 * π * r
9.42 = 2 * 3.14 * r
r = 9.42 / (2 * 3.14) = 1.5 units (approximately)
The area of the circle can be calculated using the formula:
Area = π * r^2
Area = 3.14 * 1.5^2
Area = 3.14 * 2.25
Area = 7.065 square units
Since the circle is inscribed in a square, the area of the square will be equal to the area of the circle. Therefore, the area of the square is 7.065 square units.
Circumference = 2 * π * r
9.42 = 2 * 3.14 * r
r = 9.42 / (2 * 3.14) = 1.5 units (approximately)
The area of the circle can be calculated using the formula:
Area = π * r^2
Area = 3.14 * 1.5^2
Area = 3.14 * 2.25
Area = 7.065 square units
Since the circle is inscribed in a square, the area of the square will be equal to the area of the circle. Therefore, the area of the square is 7.065 square units.