SOLUTION: The orbits of Earth and Venus around the Sun are almost circular, and in the same plane. Earth is 1.496* 10^8 km from the Sun. Venus is 1.082* 10^8 km from the Sun. Treating the

Algebra ->  Average -> SOLUTION: The orbits of Earth and Venus around the Sun are almost circular, and in the same plane. Earth is 1.496* 10^8 km from the Sun. Venus is 1.082* 10^8 km from the Sun. Treating the      Log On


   



Question 1177203: The orbits of Earth and Venus around the Sun are almost circular, and in the same plane.
Earth is 1.496* 10^8 km from the Sun.
Venus is 1.082* 10^8 km from the Sun.
Treating the space between the orbits as an annulus, calculate its area.
Write your answer in scientific notation correct to 2 significant figures.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
assuming their orbits are circular, then you would use the area of a circle formula, which is:

A = pi * r ^2

pi represents the constant value of 3.142592654.....

the radius of the path of earth around the sun is equal to 1.496 * 10^8 kilometers.
the radius of the path of venus around the sun is equal to 1.082 * 10^8 kilometers.

the sun is assumed to be the center of the circle that these two planets revolve around.

to find the area of the annulus, find the area of the circle made by the earth and subtract the area made by venus around the sun.
what's left is the area between the earth and venus.

that's the annulus.

the area of the larger circle is equal to pi * (1.496 * 10^8)^2 = 7.030934624 * 10^16.

the area of the smaller circle is equal to pi * (1.082 * 10^8)^2 = 3.677937918 * 10^26.

the area of the annulus is the larger area minus the smaller area = 3.352996706 * 10^16.

here's a reference.

https://www.mathsisfun.com/geometry/annulus.html