# 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

How do you find the volume of the sphere in terms of #pi# given #V=4/3pir^3# and d=4cm?

A triangle has corners at #(5 ,2 )#, #(4 ,6 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin?

Point A is at #(1 ,3 )# and point B is at #(2 ,-1 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

Circle A has a center at #(5 ,4 )# and a radius of #3 #. Circle B has a center at #(6 ,-8 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them?

Two angles are supplementary. They have measures of (7x + 2)° and (3x - 2)° , respectively. What is the value of x?

What is the orthocenter of a triangle with corners at #(4 ,1 )#, #(6 ,2 )#, and (3 ,6 )#?

Two corners of a triangle have angles of # (7 pi )/ 12 # and # (3 pi ) / 8 #. If one side of the triangle has a length of # 15 #, what is the longest possible perimeter of the triangle?

A triangle has corners at points A, B, and C. Side AB has a length of #15 #. The distance between the intersection of point A's angle bisector with side BC and point B is #9 #. If side AC has a length of #24 #, what is the length of side BC?

Find the area of a parallelogram with a base of 6 cm and a height of 11 cm?

How many obtuse angles can a parallelogram have?

The base of a triangular pyramid is a triangle with corners at #(5 ,8 )#, #(4 ,1 )#, and #(9 ,3 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?

A triangle as corners at #(1 ,7 )#, #(4 ,3 )#, and #(2 ,6 )#. If the triangle is dilated by a factor of #3 # about #(4 ,2 ), how far will its centroid move?

A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #54 #, what is the length of its longest diagonal?

The base of a triangular pyramid is a triangle with corners at #(7 ,8 )#, #(2 ,3 )#, and #(8 ,3 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

A cone has a height of #9 cm# and its base has a radius of #2 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be?

What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line #x + y = 13#?

Point A is at #(-3 ,4 )# and point B is at #(-8 ,1 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

A chord with a length of #16 # runs from #pi/4 # to #pi/2 # radians on a circle. What is the area of the circle?

Circle A has a radius of #1 # and a center at #(2 ,4 )#. Circle B has a radius of #3 # and a center at #(6 ,5 )#. If circle B is translated by #<-3 ,4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

What is the sum of the exterior angle measures for a regular hexagon?