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Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest circle that fits on one of the coasters?​

User Jmacedo
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2 Answers

4 votes

Answer:1.5

Step-by-step explanation: because the radius is half the diamiter and the diameter is 3 soooooooooooo

User Leftspin
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6 votes

Answer:

2.25π square inches [or 7.07 sq. in. rounded to 2 decimal places]

Explanation:

The largest circle inscribed in a square would have DIAMETER EQUAL TO THE SIDE LENGTH OF THE SQUARE.

Since diameter is double of radius, we can find the radius to be:

diameter = 3 [side length of square]

radius = 3/2 = 1.5 inches

The area of a circle is πr^2

THus, the largest circle area = πr^2 = π(1.5)^2 = π(2.25) = 2.25π square inches

User Deckard
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