Answer:
Its area to the nearest tenth is 7.1 cm^2.
Explanation:
Step 1. First, you have to figure out the radius of the circle. Since you know the diameter, simply divide the diameter of 3 by 2 to get the radius of 1.5.
Step 2.
Next, use the formula area = π(radius)² to figure out the circumference by plugging in the radius. Since we know the radius is 1.5, we can substitute 1.5 for the r in the equation to make it look like this:
a = π(1.5)²
Then, following the order of operations, we solve.
a = π(1.5)²
1.5(1.5) = 2.25
a = π2.25
π ≈ 3.14
(3.14)2.25 = 7.06500
Step 3.
Now, we round 7.06500 up to 7.1.
Therefore, the area of a circle with a diameter of 3 cm rounded to the nearest tenth is 7.1 cm^2.