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Math  /  Geometry

QuestionThe area of a circle is 12.56 square meters. What is the circle's radius? Use π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth. □\square meters Submit

Studdy Solution

STEP 1

1. The area of the circle is given as 12.56 12.56 square meters.
2. Use the approximation π≈3.14\pi \approx 3.14.
3. The answer should be rounded to the nearest hundredth.

STEP 2

1. Recall the formula for the area of a circle.
2. Rearrange the formula to solve for the radius.
3. Substitute the given values and solve for the radius.
4. Round the result to the nearest hundredth.

STEP 3

Recall the formula for the area of a circle:
A=πr2 A = \pi r^2

STEP 4

Rearrange the formula to solve for the radius r r :
r2=Aπ r^2 = \frac{A}{\pi} r=Aπ r = \sqrt{\frac{A}{\pi}}

STEP 5

Substitute the given values into the formula:
r=12.563.14 r = \sqrt{\frac{12.56}{3.14}}
Calculate the division:
r=4 r = \sqrt{4}

STEP 6

Calculate the square root and round to the nearest hundredth:
r=4=2.00 r = \sqrt{4} = 2.00
The radius of the circle is:
2.00 meters \boxed{2.00} \text{ meters}

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