Question

Suppose a white dwarf star has a diameter of approximately 1.8083 to the power of 4 km. Use the formula 4n to the power of 2 to find the approximate surface area of the star.

Answer 1

The surface area of the star is 3.2700 x
`10^(8)` square kilometres.

EXPLANATIONS:

Diameter of the star = 1.8083 x
`10^(4)` Km.

Surface area of the star = 4
`n^(2)`

Where n is the radius of the star.

So that;

n =
`( 1.8083 * 10^(4) )/(2)`

= 0.90415 x
`10^(4)`

n = 0.90415 x
`10^(4)` Km

Thus,

Surface area = 4 x
`(0.90415*10^(4) )^(2)`

= 326994889

Surface area = 3.2700 x
`10^(8)`
`km^(2)`

Therefore, the surface area of the star is 3.2700 x
`10^(8)` square kilometres.