Sophia Alfred
Geometry teacher | Experienced educator in USA
I'm a Geometry expert, graduating from Shepherd University. My passion lies in unlocking the mysteries of shapes and spaces. With a knack for simplifying complex concepts, I empower students to conquer geometric challenges with confidence. Let's navigate the world of angles and proofs together!
Questions
The radius of a circle is 2 inches. What is the circle's area?
Two corners of a triangle have angles of #(3 pi ) / 8 # and # pi / 6 #. If one side of the triangle has a length of #8 #, what is the longest possible perimeter of the triangle?
A triangle has two corners of angles #pi /12# and #(7pi)/12 #. What are the complement and supplement of the third corner?
A triangle has sides with lengths of 3, 9, and 4. What is the radius of the triangles inscribed circle?
Two opposite sides of a parallelogram have lengths of #12 #. If one corner of the parallelogram has an angle of #pi/8 # and the parallelogram's area is #36 #, how long are the other two sides?
How do we construct the perpendicular bisector of a segment to find its midpoint?
Can someone check my homework?
A rectangle has a perimeter of 50 cm. If the ratio of its length to its width is 3:2, find the length of the rectangle?
How do you find the distance between #P(-5, -4)# and #P(7, 5)#?
What is the surface area of a 7cm cube?
What is the approximate circumference of a circle with the radius 3?
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 #12 #, #7 #, and #9 #, respectively. What is the rectangle's area?
A triangle has corners at #(1, 7 )#, #( 8, 3 )#, and #( 4 , 8 )#. If the triangle is dilated by # 2 x# around #(2, 5)#, what will the new coordinates of its corners be?
The sum of two angles in a triangle totals 62.5 degrees. What is the other angle's measure?
Two circles have the following equations: #(x -8 )^2+(y -5 )^2= 64 # and #(x +4 )^2+(y +2 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
Two corners of an isosceles triangle are at #(4 ,9 )# and #(9 ,3 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
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 #8 #, #5 #, and #22 #, respectively. What is the rectangle's area?
Calculate the base of the rectangle?
A solid consists of a cone on top of a cylinder with a radius equal to the cone. The height of the cone is #3 # and the height of the cylinder is #12 #. If the volume of the solid is #24 pi#, what is the area of the base of cylinder?
A chord with a length of #6 # runs from #pi/8 # to #pi/2 # radians on a circle. What is the area of the circle?