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If an equilateral triangle is inscribed in a circle and the triangle's area is #4sqrt3#, what is the area of the circle?

Question #ba50a

ABCD is a trapezoid with line BC perpendicular to line AB and line BC perpendicular to line CD. AB=13 BC=12 CD=8.A line segment is drawn from A to E, which is the midpoint of line CD. What is the area of triangle AED?

A trench is #40 1/2# ft. long, #8# ft. wide, and #15 3/4# ft. deep. How many cubic feet is the trench?

A triangle has sides with lengths of 5, 9, and 8. What is the radius of the triangles inscribed circle?

Question #5feb3

Question #9aee7

Two corners of an isosceles triangle are at #(8 ,3 )# and #(5 ,4 )#. If the triangle's area is #15 #, what are the lengths of the triangle's sides?

What is the circumference and area in feet of circular pool that has a diameter of 20 yards?

Question #bf8db

Is it possible for two acute angles to be supplementary?

An isosceles trapezoid MNPQ with QP=12 and measure of angle M = 120 degrees has bisectors of angles MQP and NPQ that meet at point T on line MN. What is the perimeter of MNPQ?

How to construct triangle LMN , such that LN = 8 cm and ∠ LMN = 80 degrees and LM MN= 3 cm?

A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2# and the angle between sides B and C is #pi/12#. If side B has a length of 12, what is the area of the triangle?

Circle A has a center at #(5 ,4 )# and a radius of #3 #. Circle B has a center at #(6 ,8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

The lengths of the tangents from any point on the circle #15x^2 + 15y^2 48x +64 y =0# to the two circles #5x^2 + 5y^2 24x +32y +75 =0# and #5x^2 + 5y^2 48x +64y +300 =0# are in the ratio?

What is the area of the largest isosceles triangle that can be inscribed in a circle of radius 4?

In a quadrilateral ABCD, P and R are the midpoints of AB and CD respectively. Also, Q and S are points on the sides BC and DA respectively such that BQ=2QC and DS=2SA. Prove that the area of the quadrilateral PQRS equals to half of the area of ABCD?

Two corners of an isosceles triangle are at #(9 ,4 )# and #(3 ,2 )#. If the triangle's area is #48 #, what are the lengths of the triangle's sides?

Question #74eaa

The image of a microchip in a projection microscope measures 8 inches by 10 inches. The width of the actual chip is 4 millimeters. How long is the chip?

A triangle has corners at #(1 , 5 )#, #(9 ,4 )#, and #(1 ,8 )#. What is the radius of the triangle's inscribed circle?

How do you solve #(x2)/(x^27x+10)=1/(5x10)1/(x5)#?

Two corners of an isosceles triangle are at #(8 ,1 )# and #(1 ,7 )#. If the triangle's area is #15 #, what are the lengths of the triangle's sides?

Triangle A has an area of #84 # and two sides of lengths #18 # and #15 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the maximum and minimum possible areas of triangle B?

What is the area of a trapezoid whose diagonals are each 30 and whose height is 18?

Question #3c646

In a quadrilateral ABCD ,which is not a trapezium.It is known that <DAB=<ABC=60 DEGREE.moreover , <CAB=<CBD.Then
A) AB=BC+CD
B) AB=AD+CD
C) AB=BC+AD
D) AB=AC+AD ? Choose correct option.

How do you calculate the overlapping area between intersecting circles?

What is the area of the parallelogram with vertices A(1,5,0), B(6,10,−3), C(−4,5,−2),
and D(1,10,−5)?

What is the surface area of a 11 cm high pyramid whose base is an equilateral triangle with a 62 cm perimeter? Show work.

Question #15b5e

If #A = <8 ,1 ,5 >#, #B = <6 ,5 ,8 ># and #C=AB#, what is the angle between A and C?

How did Otto von Bismarck, the chancellor of Prussia, lead the drive for German unity?

What are the equations of the planes that are parallel to the plane #x+2y2z=1# and two units away from it?

What are all the zeroes of #f(x) = 2x^3 + 3x^2 + 4x  10#?

Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 158 feet from camera 2, which was 121 feet from camera 3. Cameras 1 and 3 were 140 feet apart. What camera had to cover the greatest angle?

A triangle has corners at #(2 , 1 )#, ( 5 , 6)#, and #( 8 , 5 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?

Question #509cd

Why did the Napoleonic Wars represent a watershed in the history of warfare?

A flagpole 8.2 meters tall casts a horizontal shadow 4.0 meters long. What time is it if the sun was directly overhead at 12:10 pm and will set at 6:10 pm?

What is a quadrilateral that has exactly 2 congruent consecutive sides? Would it be either a parallelogram and/or a trapezoid?

How do I calculate the distance between the two parallel planes #x  2y + 2z = 7# and #2y  x  2z = 2#?

How would you determine the equation of the circle which passes through the points D(5,5), E(5,15), F(15,15)?

What was the result of the Battle of El Alamein?

How do you factor #f(x)=x^3+3x^212x18#?

Each interior angle of a regular polygon lies between 136 to 142. How do we calculate the sides of the polygon?

A triangle has corners at #(2 , 2 )#, ( 5, 6 )#, and #( 1, 4 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?

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