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Can you solve this conundrum?
Suppose you have a board with tan and grey squares, each square measuring 5 cm by 5 cm.
What's the radius of the largest circle that can be drawn on the board such that the entire circumference of the circle is only touching grey? Please round to the nearest hundredth of a centimeter
7 Answers
- Anonymous1 decade ago
If the center of the circle is at the center of a tan square, then you can draw a circle with radius equal to the distance from the center of the tan square to the corner. The circle will pass through all four surrounding grey squares.
The radius of the circle will be 5/2 * SQRT 2, or about 3.54 cm.
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- 1 decade ago
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