The circumference is 9.42 dm. Find the area of the circle bounded by this circle.
August 9, 2021 | education
| To find the area of a circle, we need the formula:
S = п * R ^ 2,
Since R is still unknown to us, we will find it using the following formula:
L = 2 * п * R
In order to find the radius, we transform this formula:
R = L / 2 * п, respectively:
R = 9.42 / 2 * 3.14 = 9.42 / 6.28 = 1.5dm
Now we are looking for the area of the circle:
S = 3.14 * 1.5 ^ 2 = 7.065 dm ^ 2
Round to hundredths 7.065 dm = 7.07 dm ^ 2
Answer: The area of a circle is 7.07 dm ^ 2
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