Find the area of each figure. Round to the nearest hundredth.
There is a picture of a circle with a diameter of 6 squared root of 2
If D = 6*sqrt2, R = 3 sqrt2
A = pi*R^2 = pi*9*2 = 18 pi
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To find the area of a circle, we can use the formula:
A = πr²
Given that the diameter of the circle is 6√2, we can find the radius by dividing the diameter by 2:
r = (6√2) / 2
r = 3√2
Now, we substitute this radius into the formula to find the area:
A = π(3√2)²
A = π * 9 * 2
A = 18π
Rounding to the nearest hundredth, the area of the circle is approximately 56.55.
To find the area of a circle, you can use the formula: A = πr^2, where A represents the area and r represents the radius of the circle.
Given that the diameter of the circle is 6 square root of 2, we can find the radius by dividing the diameter by 2. So, the radius of the circle would be (6 square root of 2)/2 = 3 square root of 2.
Now, we can substitute the value of the radius into the formula to find the area:
A = π(3 square root of 2)^2
= π * 9 * (square root of 2)^2
= 9π * 2
= 18π
To round the answer to the nearest hundredth, we need to approximate the value of π. π is usually rounded to 3.14.
Therefore, the area of the circle is approximately 18 * 3.14 = 56.52 square units (rounded to the nearest hundredth).