# 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

What is the perimeter of a triangle with corners at #(3 ,9 )#, #(5 ,7 )#, and #(1 ,4 )#?

Suppose a circle of radius r is inscribed in a hexagon. What is the area of the hexagon?

What are the differences between similar triangles and congruent triangles?

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #9 #, #4 #, and #5 #, respectively. What is the rectangle's area?

An ellipsoid has radii with lengths of #3 #, #4 #, and #7 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

How many right angles does a rectangle have?

Points #(2 ,9 )# and #(1 ,5 )# are #(3 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?

Cups A and B are cone shaped and have heights of #12 cm# and #15 cm# and openings with radii of #6 cm# and #4 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

What is the area of an equilateral triangle with a side length of 1?

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 #9 # and the height of the cylinder is #12 #. If the volume of the solid is #45 pi#, what is the area of the base of the cylinder?

How do you use Heron's formula to find the area of a triangle with sides of lengths #5 #, #5 #, and #5 #?

Two corners of an isosceles triangle are at #(9 ,2 )# and #(1 ,7 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?

What is the area of an equilateral triangle inscribed in a circle with a radius of 5 inches?

How to write standard form of the equation circle with a center of (-1,4);circumference 6pie?

How do we arrive at the formula for area of a circle as #pir^2#?

Point A is at #(9 ,-2 )# and point B is at #(2 ,4 )#. Point A is rotated #pi # 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 #(6 ,2 )# and an area of #45 pi#. Circle B has a center at #(2 ,3 )# and an area of #75 pi#. Do the circles overlap?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #6 # and #4 # and the pyramid's height is #3 #. If one of the base's corners has an angle of #pi/4#, what is the pyramid's surface area?

An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(1 ,4 )# to #(5 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner?

A triangle has corners at #(7 ,5 )#, #(2 ,3 )#, and #(1 ,4 )#. What is the area of the triangle's circumscribed circle?