# Sadie Adams

Geometry teacher | Verified Expert

Greetings! I'm a dedicated geometry expert, honing my skills at Loyola University Maryland. Passionate about shaping mathematical minds, I thrive on unraveling the complexities of geometry. With a commitment to fostering understanding, I'm here to guide students through the intricacies of shapes, angles, and the beauty of mathematical relationships. Let's embark on a journey of geometric exploration together!

## Questions

Circle A has a radius of #4 # and a center of #(5 ,3 )#. Circle B has a radius of #2 # and a center of #(1 ,2 )#. If circle B is translated by #<2 ,4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

Two corners of a triangle have angles of #(3 pi ) / 8 # and # pi / 4 #. If one side of the triangle has a length of #9 #, what is the longest possible perimeter of the triangle?

What is the orthocenter of a triangle with corners at #(4 ,9 )#, #(3 ,4 )#, and (5 ,1 )#?

Job places a dot on a coordinate play at (-10,-4) he wants to place another dot across the y-axis and it must be 14 points away where is he going to place it?

A triangle has corners at #(8 ,1 )#, #(4 ,5 )#, and #(6 ,7 )#. What is the area of the triangle's circumscribed circle?

Points A and B are at #(2 ,1 )# and #(3 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/6 #, and the triangle's area is #98 #. What is the area of the triangle's incircle?

Circle A has a radius of #3 # and a center at #(1 ,2 )#. Circle B has a radius of #5 # and a center at #(3 ,4 )#. If circle B is translated by #<2 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

Find an equation for the perpendicular bisector of the line segment whose endpoints are ( − 2 , − 1 ) (−2,−1) and ( − 6 , − 5 ) (−6,−5)?

An ellipsoid has radii with lengths of #5 #, #12 #, and #8 #. A portion the size of a hemisphere with a radius of #7 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #27 #, how long are the other two sides?

The interior angles of a hexagon are #x+2, x-8, x +7, x -3, x+6, and x -4#. What is the value of #x#?

An ellipsoid has radii with lengths of #3 #, #4 #, and #6 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

A cone has a height of #16 cm# and its base has a radius of #8 cm#. If the cone is horizontally cut into two segments #3 cm# from the base, what would the surface area of the bottom segment be?

A triangle has two corners with angles of # pi / 2 # and # ( pi )/ 8 #. If one side of the triangle has a length of #13 #, what is the largest possible area of the triangle?

A triangle has corners at #(1 ,6 )#, #(3 ,2 )#, and #(8 ,9 )#. How far is the triangle's centroid from the origin?

A circle has a center that falls on the line #y = 5/8x +6 # and passes through # ( 1 ,5 )# and #(2 ,9 )#. What is the equation of the circle?

How do you an equilateral triangle is equilateral?

Find the area of a parallelogram with bottom and top sides of 7 inches and right and left sides of 4 inches? The height is unknown.

Two corners of an isosceles triangle are at #(2 ,4 )# and #(3 ,8 )#. If the triangle's area is #18 #, what are the lengths of the triangle's sides?