Question

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? use 3.14 for π, and round your answer to the nearest hundredth.

Answer 1

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.

$Radius = \frac{circumference}{2\pi }$

the circumference because our circumference is 11 units.

Radius = $\frac{11}{2pi }$

put π = 3.14 * 2

radius =  11 / 2 * 3.14

radius = 11/  6.28 ⇒ 1.75

the area of the circle = $\pi r^{2}$

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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