The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th
e square to the area of the circle? Express your answer as a common fraction in terms of $\pi$.
1 answer:
<h2>
Ratio of area of the square to the area of the circle = π/4</h2>
Step-by-step explanation:
Let the side of square be a and radius of circle be r.
The perimeter of a particular square and the circumference of a particular circle are equal.
Perimeter of square = 4 x a = 4a
Circumference of circle = 2πr
Given that
4a = 2πr

We need to find the ratio of the area of the square to the area of the circle.
Area of the square = a²
Area of the circle = πr²

Ratio of area of the square to the area of the circle = π/4
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