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Area Questions
How do you find the area of an equilateral triangle without the height?
A triangle has two corners with angles of # ( pi ) / 2 # and # ( 5 pi )/ 12 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?
What is the area of an equilateral triangle inscribed in a circle with a radius of 5 inches?
A triangle has two corners with angles of # pi / 2 # and # ( pi )/ 8 #. If one side of the triangle has a length of #8 #, what is the largest possible area of the triangle?
A parallelogram has a 140 degree angle and sides of 3 cm and 7 cm long. What is the area of the parallelogram?
Two corners of an isosceles triangle are at #(2 ,4 )# and #(4 ,7 )#. If the triangle's area is #8 #, what are the lengths of the triangle's sides?
Find the area of the regular octagon if the apothem is 3 cm and a side is 2.5 cm? Round to the nearest whole number.
How do you derive the area formula of a rhombus?
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 #36 # and the height of the cylinder is #4 #. If the volume of the solid is #126 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 #1 #, #5 #, and #5 #?
Cups A and B are cone shaped and have heights of #32 cm# and #12 cm# and openings with radii of #15 cm# and #12 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?
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 #72 pi#, what is the area of the base of the cylinder?
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