Question

A circle us inscribed in a square of side 14 cm.Find the area enclosed between the square and the circle

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1: Find the diagonal distance of the square.

The diagonal distance of the square is also the diameter of the circle.

a² + b² = c²

c² = 14² + 14²

c² = 392

c = √392

c = 14√2
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STEP 2: Find the area of the square:

Area = Length x Length

Area = 14 x 14

Area = 196 cm²

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STEP 3: Find area of the circle:

Area of the circle = πr²

Area = π (14√2)² = 176 cm²

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STEP 4: Find the enclosed area between the square and the circle:

196 - 176 = 20 cm²

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Answer: The area enclosed between the square and circle is 20 cm².

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⭐$\textbf {Cheers }$⭐