Respuesta :
The area of a circle with a circumference that equals the perimeter of the square is 9.62 units².
What is circle ?
- A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.
- Every line that passes through the circle forms the line of reflection symmetry.
- Also, it has rotational symmetry around the centre for every angle.
the side measurements of the square is 2.75 units.
the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.
2.75 × 4 = 11
Let's use the formula for finding radius given the circumference.
[tex]Radius = \frac{circumference}{2\pi }[/tex]
the circumference because our circumference is 11 units.
Radius = [tex]\frac{11}{2pi }[/tex]
put π = 3.14 * 2
radius = 11 / 2 * 3.14
radius = 11/ 6.28 ⇒ 1.75
the area of the circle = [tex]\pi r^{2}[/tex]
area = 3.14 * (1.75)² ⇒9.61325
Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.
9.61325 = 9. 62
Therefore, the area of the circle is 9.62 units².
Learn more about circle
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