A square has a side that measures 2.75 units. What is the area of a circle with a circumference that equals the perimeter of the square?
Accepted Solution
A:
Answer:9.63 square unitsStep-by-step explanation:It is given that, a square has a side that measures 2.75 units.To find the perimeter of squarePerimeter = 4 * side = 4 * 2.75 = 11 unitsTo find the radius of circle with circumference 11 unitsCircumference = 2πr2πr = 11r = 11/2πTo find the area of circleArea of circle = πr² = π(11/2π)² = (π * 11 * 11/4π²) = 121/4π = 121/(4 * 3.14) = 9.63 square units