A geographical globe has a radius of 18cm.find the radius of the circleformed by the parallel of latitude 56 degrees south.

r/18 = cos56

r = 18cos56 = appr 10.1

Yes

The solution

That is correct dear

To find the radius of the circle formed by the parallel of latitude 56 degrees south on a geographical globe, we can use some trigonometry and the concept of a spherical geometry.

1. Understand the problem: We have a geographical globe (assumed to be a perfect sphere) with a given radius of 18 cm. We are looking to find the radius of the circle formed by the parallel of latitude 56 degrees south.

2. Determine the circle formed: A parallel of latitude is a circle on the Earth's surface parallel to the equator. The sphere is perfectly symmetrical, and all the circles of latitude have the same radius. So, the circle formed by the parallel of latitude 56 degrees south will have the same radius as the globe, which is 18 cm.

Therefore, the radius of the circle formed by the parallel of latitude 56 degrees south is 18 cm.