A circle is inscribed in a square with a side length of 6 cm. What is the area o

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Question: A circle is inscribed in a square with a side length of 6 cm. What is the area of the circle?

Options:

Correct Answer: 28.26 cm²

Solution:

Radius = side length / 2 = 6 / 2 = 3 cm. Area = πr² = π(3)² = 9π ≈ 28.26 cm².

A circle is inscribed in a square with a side length of 6 cm. What is the area of the circle?

A circle is inscribed in a square with a side length of 6 cm. What is the area of the circle?

Step 1: Identify the side length of the square, which is given as 6 cm.
Step 2: Calculate the radius of the inscribed circle. The radius is half of the side length: 6 cm / 2 = 3 cm.
Step 3: Use the formula for the area of a circle, which is Area = πr².
Step 4: Substitute the radius into the formula: Area = π(3 cm)².
Step 5: Calculate (3 cm)², which equals 9 cm².
Step 6: Multiply by π to find the area: Area = 9π cm².
Step 7: If needed, approximate the area using π ≈ 3.14: Area ≈ 9 * 3.14 = 28.26 cm².

Circle Area Calculation – Understanding how to calculate the area of a circle using the formula A = πr², where r is the radius.
Relationship Between Circle and Square – Recognizing that the diameter of the inscribed circle is equal to the side length of the square.