Question: A circle is inscribed in a square. If the side of the square is 8 cm, what is the radius of the circle?
Options:
2 cm
4 cm
6 cm
8 cm
Correct Answer: 4 cm
Solution:
The radius of the inscribed circle is half the side of the square, so r = 8/2 = 4 cm.
A circle is inscribed in a square. If the side of the square is 8 cm, what is th
Practice Questions
Q1
A circle is inscribed in a square. If the side of the square is 8 cm, what is the radius of the circle?
2 cm
4 cm
6 cm
8 cm
Questions & Step-by-Step Solutions
A circle is inscribed in a square. If the side of the square is 8 cm, what is the radius of the circle?
Step 1: Understand that a circle inscribed in a square means the circle fits perfectly inside the square.
Step 2: Know that the diameter of the inscribed circle is equal to the side length of the square.
Step 3: Since the side of the square is 8 cm, the diameter of the circle is also 8 cm.
Step 4: The radius of a circle is half of its diameter.
Step 5: Calculate the radius by dividing the diameter by 2: 8 cm / 2 = 4 cm.
Geometry of Inscribed Shapes – Understanding the relationship between a square and an inscribed circle, specifically how the radius of the circle relates to the side length of the square.
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