A circle is inscribed in a square of side 10 cm. What is the area of the circle?

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Question: A circle is inscribed in a square of side 10 cm. What is the area of the circle? (Use π = 3.14) (2020)

Options:

Correct Answer: 78.5 cm²

Solution:

Radius of the circle = side/2 = 10 cm / 2 = 5 cm. Area = πr² = 3.14 * 5² = 78.5 cm².

A circle is inscribed in a square of side 10 cm. What is the area of the circle? (Use π = 3.14) (2020)

A circle is inscribed in a square of side 10 cm. What is the area of the circle? (Use π = 3.14) (2020)

Step 1: Identify the side length of the square, which is given as 10 cm.
Step 2: Calculate the radius of the inscribed circle. The radius is half of the side length of the square. So, radius = 10 cm / 2 = 5 cm.
Step 3: Use the formula for the area of a circle, which is Area = πr².
Step 4: Substitute the value of π (3.14) and the radius (5 cm) into the formula. So, Area = 3.14 * (5 cm)².
Step 5: Calculate (5 cm)², which is 25 cm².
Step 6: Multiply 3.14 by 25 cm² to find the area. So, Area = 3.14 * 25 = 78.5 cm².

Geometry – Understanding the relationship between a circle and a square, specifically how to calculate the radius of an inscribed circle.
Area Calculation – Applying the formula for the area of a circle (A = πr²) using the correct value for π and the radius.