# 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

A circle has a center at #(1 ,3 )# and passes through #(2 ,1 )#. What is the length of an arc covering #pi /4 # radians on the circle?

How would you show that a triangle with vertices (13,-2), (9,-8), (5,-2) is isosceles?

A line segment is bisected by a line with the equation # 4 y - 3 x = 2 #. If one end of the line segment is at #( 2 , 1 )#, where is the other end?

What is the area of a circle, whose radius is #3cm.#?

A triangle has two corners with angles of # pi / 12 # and # (7 pi )/ 8 #. If one side of the triangle has a length of #8 #, what is the largest possible area of the triangle?

#triangleABC# is isosceles, where AB=BC. If #m angleA= 5x+ 30# and #mangleB= 2x#, then how do you find #mangleC#?

Britney is 5 feet tall and casts a 3 1/2 -foot shadow at 10:00 A.M. At that time, a nearby tree casts a 17-foot shadow. Two hours later, Britney's shadow is 2 feet long. What is the length of the shadow of the tree at this time?

A food manufacturer stores corn oil in right circular cylindrical containers. This container has a height of 10 feet, and a base with a radius of 5 feet. What is SA, the surface are alf this container, in terms of #pi#?

A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,-4 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move?

A cone has a height of #12 cm# and its base has a radius of #2 cm#. If the cone is horizontally cut into two segments #7 cm# from the base, what would the surface area of the bottom segment be?

A parallelogram has sides with lengths of #24 # and #9 #. If the parallelogram's area is #24 #, what is the length of its longest diagonal?

Two opposite sides of a parallelogram each have a length of #8 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #36 #, how long are the other two sides?

Circle A has a center at #(1 ,3 )# and an area of #18 pi#. Circle B has a center at #(11 ,7 )# and an area of #54 pi#. Do the circles overlap?

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 #15 #, #8 #, and #4 #, respectively. What is the rectangle's area?

A triangle has corners at points A, B, and C. Side AB has a length of #36 #. The distance between the intersection of point A's angle bisector with side BC and point B is #15 #. If side AC has a length of #27 #, what is the length of side BC?

Two corners of a triangle have angles of #pi / 3 # and # pi / 6 #. If one side of the triangle has a length of #9 #, what is the longest possible perimeter of the triangle?

Triangle A has sides of lengths #36 #, #42 #, and #48 #. Triangle B is similar to triangle A and has a side of length #7 #. What are the possible lengths of the other two sides of triangle B?

Pg 24, q51. How do I figure this out? thanks

A triangle has sides with lengths of 2, 8, and 8. What is the radius of the triangles inscribed circle?

Explain how the formula for the area of a trapezoid is derived from the formula for the area of a triangle?