Find the areas of circles with the following driameters· Use π = 3·14. a) 8\pi ​

Question

Find the areas of circles with the following driameters· Use π = 3·14. a)


`8\pi`
​

Answer 1

502.4 this is the answer

Answer 2

Answer: 502.4 square units

Explanation:

AI-generated answer

To find the area of a circle, we need to use the formula A = πr^2, where A represents the area and r represents the radius of the circle.

The diameter of a circle is twice the length of its radius. So, if the diameter of a circle is given, we can find the radius by dividing the diameter by 2.

In this case, the diameter is 8π. To find the radius, we divide 8π by 2, giving us a radius of 4π.

Now we can substitute the radius into the area formula: A = π(4π)^2.

Simplifying this, we get A = π(16π^2), which can be further simplified to A = 16π^3.

Using the value of π as 3.14, we can calculate the area as follows: A ≈ 16(3.14)^3.

Calculating this, we get A ≈ 16(31.4).

Finally, we find the area: A ≈ 502.4 square units.

Therefore, the area of the circle with a diameter of 8π is approximately 502.4 square units.