Evelyn Arboleda
Geometry teacher | Verified Expert
I hold a degree in Geometry from Dakota State University. My passion lies in unraveling the intricacies of shapes and space, guiding students through the wonders of geometric concepts. With a knack for simplifying complex ideas, I foster a supportive learning environment where students thrive. Whether exploring angles, polygons, or proofs, I'm dedicated to illuminating the beauty and logic of Geometry. Let's embark on this geometric journey together!
Questions
How do you find the equation of a circle in standard form given #x^2+y^2+4x+6y+4=0#?
What is the orthocenter of a triangle with corners at #(1 ,3 )#, #(5 ,7 )#, and (2 ,3 )#?
Two opposite sides of a parallelogram each have a length of #15 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #160 #, how long are the other two sides?
A cone has a height of #11 cm# and its base has a radius of #7 cm#. If the cone is horizontally cut into two segments #8 cm# from the base, what would the surface area of the bottom segment be?
Are these two lines parallel, perpendicular, or neither? Explain. #9x+3y=8#, #3x+9y=8#
A line segment has endpoints at #(2 ,3 )# and #(8 ,9 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the x-axis, what will the line segment's new endpoints be?
What is the area of a circle with a diameter of 27 inches?
If the diameter of a sphere is 10, what is the approximate volume of the sphere?
What is the area of an equilateral triangle whose vertices lie on a circle with radius 2?
The base of a triangular pyramid is a triangle with corners at #(8 ,5 )#, #(7 ,2 )#, and #(4 ,6 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?
Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #26 #, how long are the other two sides?
How many diagonals does a convex polygon of #n# sides have?
A parallelogram has sides with lengths of #21 # and #12 #. If the parallelogram's area is #42 #, what is the length of its longest diagonal?
What do you call a polygon with 20 sides?
A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #66 # and the height of the cylinder is #5 #. If the volume of the solid is #243 pi#, what is the area of the base of the cylinder?
A circle has a chord that goes from #( pi)/4 # to #(13 pi) / 8 # radians on the circle. If the area of the circle is #27 pi #, what is the length of the chord?
Two corners of an isosceles triangle are at #(8 ,5 )# and #(9 ,1 )#. If the triangle's area is #12 #, what are the lengths of the triangle's sides?
Two rhombuses have sides with lengths of #1 #. If one rhombus has a corner with an angle of #(7pi)/12 # and the other has a corner with an angle of #(3pi)/4 #, what is the difference between the areas of the rhombuses?
A line passes through #(3 ,6 )# and #(6 ,5 )#. A second line passes through #(4 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?
If 3 times the supplement of an angle is subtracted from 7 times the complement of the angle, the answer is the same as that obtained from trisecting a right angle. What is the supplement of this angle?