Question

*If the area of a circle and a square with side length a cm are same. Then radius of the circle is?*

1️⃣ r=a^2/π
2️⃣ r =√(a/π)
3️⃣ r=√(a^2/π)
4️⃣ r^2=√(a^2/π)
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Answer 1

Answer:

a² = πr²

r² = a²/π

=>=> r = √a²/π

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Answer 2

Question :- If the area of a circle and a square with side length a cm are same. Then radius of the circle is?*

1️⃣ r=a^2/π

2️⃣ r =√(a/π)

3️⃣ r=√(a^2/π)

4️⃣ r^2=√(a^2/π)

Solution :-

Let us assume that, side of square is a cm and radius of circle is r cm.

we know that,

• Area of square = (side)²
• Area of circle = π * (radius)² .

comparing both area by putting values now ,we get,

→ π * (r)² = (a)²

→ (r)² = (a)² / π

square - root both sides we get,

→ r = √(a²/π) (3) (Ans.)

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