# Noah Atkinson

Geometry teacher | Tutor for 8 years

I am a dedicated educator specializing in Geometry, with a background in Mathematics from Washington and Lee University. My passion lies in guiding students through the intricate world of shapes, angles, and proofs, fostering their understanding and appreciation for the subject. With a commitment to clarity and patience, I strive to make geometric concepts accessible and engaging for learners of all levels. Through personalized instruction and effective problem-solving strategies, I aim to empower students to excel in their mathematical journey. Let's unlock the mysteries of Geometry together!

## Questions

Two corners of a triangle have angles of #pi / 6 # and # pi / 2 #. If one side of the triangle has a length of #6 #, what is the longest possible perimeter of the triangle?

A cone has a height of #12 cm# and its base has a radius of #15 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?

What is the equation of the circle with a center at #(3 ,1 )# and a radius of #1 #?

In ∆ABC the coordinates vertices A and B are A (-2, 4) and B (-1, 1). For each of the given coordinates of vertex C, is ∆ ABC a right triangle?

Find the area of the shaded region (green) knowing the side of square is #s = 25 cm#?

ABCD is a rhombus . If angle ADB = 50 , find the angles of the rhombus ?

Two corners of an isosceles triangle are at #(1 ,7 )# and #(3 ,3 )#. If the triangle's area is #64 #, 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 #(pi)/4 #, what is the difference between the areas of the rhombuses?

A rectangle has an area of #30# #cm^2#. It has a width of #5+2x# #cm# and a length of #2x+4# #cm#. What is the length and width?

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 #16 #, #5 #, and #4 #, respectively. What is the rectangle's area?

Two rhombuses have sides with lengths of #9 #. If one rhombus has a corner with an angle of #(7pi)/12 # and the other has a corner with an angle of #(pi)/4 #, what is the difference between the areas of the rhombuses?

How do you use Heron's formula to find the area of a triangle with sides of lengths #8 #, #4 #, and #9 #?

What is the centroid of a triangle with corners at #(1, 1 )#, #(3, 2 )#, and #(8 , 6 )#?

How do you find the area of a circle with a diameter of 6?

A chord with a length of #16 # runs from #pi/8 # to #pi/2 # radians on a circle. What is the area of the circle?

Points A and B are at #(9 ,4 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C?

Circle R has diameter ST with endpoints S(4, 5) and T(-2, 3). What are the circumference and area of the circle?

A parallelogram has sides A, B, C, and D. Sides A and B have a length of #6 # and sides C and D have a length of # 1 #. If the angle between sides A and C is #(7 pi)/12 #, what is the area of the parallelogram?

A circle has a center that falls on the line #y = 7/9x +7 # and passes through # ( 4 ,1 )# and #(3 ,7 )#. What is the equation of the circle?

Find x in each of the following given that it is an acute angle. (Give your answer to the nearest degree.)? a) sin x=0.4 Thank You