Question 168872: a square has an area of 49 sq cm. what is the area of the inscribed circle? express your answer as a decimal to the nearest tenth
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! a square has an area of 49 sq cm. what is the area of the inscribed circle? express your answer as a decimal to the nearest tenth
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Draw a diagram of the problem.
Doing so, you will see that the diameter of the circle is equivalent to the diameter of circle. And, we know that half the diameter is the radius.
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So, if we:
Let x = length of one side of the square (this is also equal to the radius)
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The problem states that the area of the square is 49 sq cm:
And, we know that area of any square is:
(length of one side)^2
or
x^2 = 49
taking the square root of both sides:
x = 7 cm (this the length of the side of the square and the radius of the circle)
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Area of circle then:
(pi)r^2
(3.14)(7^2)
(3.14)(49)
153.86
rounding to the nearest tenth:
153.9 sq cm
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