Question
In: Math
Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a...
Find the relation between the Euclidean radius and the spherical
radius of spherical circle.
Include a picture.
Solutions
milcah answered 2 years agoRelated Solutions
what are some differences and similarities between the models in Euclidean, Spherical, and hyperbolic geometries?
what are some differences and similarities between the models in
Euclidean, Spherical, and hyperbolic geometries?
1. Find an equation of the circle that satisfies the given conditions. Center (2, −3); radius...
1. Find an equation of the circle that satisfies the given
conditions.
Center (2, −3); radius 5
2. Find an equation of the circle that satisfies the given
conditions.
Center at the origin; passes through (4, 6)
3. Find an equation of the circle that satisfies the given
conditions.
Center (2, -10); tangent to the x-axis
4. Show that the equation represents a circle by rewriting it in
standard form.
x² + y²+ 4x − 10y + 28 = 0...
Find a path that traces the circle in the plane y=0 with radius r=2 and center...
Find a path that traces the circle in the plane y=0 with radius
r=2 and center (2,0,−2) with constant speed 12.
r1(s)=〈 , , 〉
Find a vector function that represents the curve of intersection
of the paraboloid z=7x^2+5y^2 and the cylinder y=6x^2. Use the
variable t for the parameter.
r(t)=〈t, , 〉
Need help with Calculus III
Discuss the ratio of circumference to diameter for circles on the sphere. the Euclidean radius is...
Discuss the ratio of circumference to diameter for circles on
the sphere.
the Euclidean radius is the distance to the (Euclidean) center
of the circle -- which
is not a point on the sphere. But the circle also has a center on
the
sphere -- this would be the North (or South) Pole for lines
of
latitude. So the spherical radius of such a circle is different,
namely
the spherical distance from the (spherical) center.
Derive formulas relating these various...
If a circle C with radius 1 rolls along the outside of the circle x2 +...
If a circle C with radius 1 rolls along the outside of
the circle x2 +
y2 = 36, a fixed point P on
C traces out a curve called an epicycloid, with
parametric equations x = 7
cos(t) − cos(7t),
y = 7 sin(t) −
sin(7t). Graph the epicycloid.
Find the area it encloses.
A circle of radius r has area A = πr2. If a random circle has a...
A circle of radius r has area A =
πr2. If a random circle has a radius that is uniformly
distributed on the interval (0, 1), what are the mean and variance
of the area of the circle?
Change the distribution of the radius to an exponential
distribution with paramter β = 2. Also find the probability that
the area of the circle exceeds 3, if it is known that the area
exceeds 2.
1) A circle of radius r has area A = π r2. If a random circle...
1) A circle of radius r has area A = π r2. If a
random circle has a radius that is evenly distributed in the
interval (0, 1), what are the mean and variance of the area of
the circle?
choose the correct answer
A) 1/3 and 1/12
B) Pi/3 and 1/12
C) Pi/3 and 1/5
D) Pi/3 and (4/45)*Pi^2
A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b =...
A nonconducting spherical shell of inner radius a = 2.00 cm and
outer radius b = 2.40 cm has (within its thickness) a positive
volume charge density p = A/r, where A is a constant and r is the
distance from the center of the shell. In addition, a small ball of
charge q = 4.5 x 10 ^ -14 C is located at the center of that
center. Find the total charge of the shell.
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius a and outer
radius b is concentric with a larger conducting spherical shell
with inner radius c and outer radius d. The inner shell has a total
charge of -1q and the outer shell has a total charge of +3q.
Select True or False for the following statements.
1. The total charge on the inner surface of the small shell is
-4q.
2. The total charge on the outer surface of the...
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius
a and outer radius b is
concentric with a larger conducting spherical shell with inner
radius c and outer radius d. The
inner shell has a total charge of -2q and the
outer shell has a total charge of +4q.
Select True or False for the following statements.
The total charge on the inner surface of the small shell is
zero.
True False The total charge on the inner surface of the
large...
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