Suppose a white dwarf star has a diameter of approximately 1.6692x10^4 km. Us the formula 4pie^2 to find the approximate surface area of the star

To find the surface area of a white dwarf star using the formula 4πr^2, you need to know the radius of the star.

1. Given that the diameter of the star is approximately 1.6692x10^4 km, you can find the radius by dividing the diameter by 2.
Radius = Diameter / 2
Radius = 1.6692x10^4 km / 2
Radius = 8.346x10^3 km

2. Plugging in the radius into the formula, you can calculate the surface area of the star.
Surface Area = 4π * Radius^2
Surface Area = 4π * (8.346x10^3 km)^2
Surface Area = 4π * 6.9495x10^7 km^2
Surface Area ≈ 8.73x10^8 km^2

Therefore, the approximate surface area of the white dwarf star is approximately 8.73x10^8 km^2.

To find the surface area of a white dwarf star using the formula 4πr^2, we need to first calculate the radius (r) of the star.

Given information:
Diameter = 1.6692 x 10^4 km

Step 1: Calculate the radius:
The radius (r) of a circle is equal to half the diameter. So, divide the diameter by 2 to find the radius.

r = (1.6692 x 10^4 km) / 2
r = 8.346 x 10^3 km

Step 2: Plug the radius into the surface area formula:
Surface Area = 4πr^2

Surface Area = 4π(8.346 x 10^3 km)^2

Step 3: Calculate the surface area:
First, square the radius:

Surface Area = 4π(8.346 x 10^3 km)^2
Surface Area = 4π(8.346^2 x 10^6 km^2)

Next, multiply the square of the radius by 4π:

Surface Area = 4π(8.346^2 x 10^6 km^2)
Surface Area = 4 x 3.14159 x (8.346^2 x 10^6 km^2)

Finally, calculate the value:

Surface Area ≈ 4 x 3.14159 x (69.4981 x 10^6 km^2)
Surface Area ≈ 4 x 3.14159 x 69.4981 x 10^6 km^2
Surface Area ≈ 871.874656362 x 10^6 km^2
Surface Area ≈ 8.718746563 x 10^8 km^2

Therefore, the approximate surface area of the white dwarf star is approximately 8.718746563 x 10^8 km^2.

This is what it said in the book.

use the formaula

pie = 3.14

4pie r ^2

surface area= 4 PI * (diameter/2)^2

where did you get your formula?