Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers


654,373 users

geometry homework!!!!

0 votes
1) Describe the Locus  of all points in space that are equidistant from all of the points on a circle  .

2) A torus is a doughnut-shaped solid that can be described as the locus of all points in space that are a given distance from what type of plane curve?

3) Find the locus of all points in a coordinate plane that are equidistant from points (-3,0) and  (0,3).

4) Describe the cross section obtained when a plane intersects a sphere of radius 4in., through its center.

5) If the diameter of a spherical ball is doubled , by what factor does its surface area increase?
asked Nov 4, 2013 in GEOMETRY by abstain12 Apprentice

3 Answers

0 votes

1a) A "locus" is a basically a set of points that match a certain description.

b) For example, you know that a circle is the set (or "locus") of points the same distance from a fixed point (the center).

c) The sphere that has a center is the point and whose radius is the constant equal distance is called circle.

2a) A circle with radius equal to the given distance that is centered at the point, in a plane perpendicular to the plane of the original circle.

b) If you do that for every point on the original circle, you will have a torus.

3) Let (x,y) be a point

Squared distance between (x,y) and (-3,0) = (x+3)^2+y^2

Squared distance between (x,y) and (0,3) = x^2+(y-3)^2
x^2+6x+9+y^2 = x^2+y^2-6y+9
The line y=-x


answered Nov 4, 2013 by jouis Apprentice
0 votes



since diameter is doubled.


Substitute known vales




surface area will be increased by 4 times.

answered Nov 4, 2013 by jouis Apprentice
0 votes


A plane through the sphere center is like slicing an orange in half.
The cross section would be a circle with the radius of the circle equal to the radius of the sphere (4 in).


answered Aug 22, 2014 by lilly Expert

Related questions

asked Nov 2, 2013 in GEOMETRY by futai Scholar
asked Nov 1, 2015 in GEOMETRY by anonymous
asked Jun 7, 2014 in GEOMETRY by anonymous