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Grace [21]
3 years ago
15

Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest c

ircle that fits on one of the coasters?​
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

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

Step-by-step 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

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Vlad1618 [11]
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6/12 = 2/4

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Genrish500 [490]

Hello from MrBillDoesMath!

Answer:

x = 2 and 10


Discussion:

Approach 1:

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Approach 2:

From the quadratic formula ( a = 1, b = -12, c = 20)

x =    (  -(-12) +\- sqrt( ((-12)^2 - 4*1*20) )  /  (2 * 1)

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x = ( 12 - 8)/ 2 = 4/2 = 2



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