+655 Hey guys! Let's start a new geometrey thread. In this thread, you answer the last question and post a new question. The only rule is that the problems has to be about geometry. I can start us off:
Point P is 6 units from the center of the circle of radius 10. Compute the number of chords with integral length that pass through P.
+46 I'm all for showing off how smart you are...but that is literally the dumbest thing I've ever heard
The semicircle of area 1250 pi centimeters is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. Find the area of the rectangle.
+236 If x is the radius of the semicircle,
1250π = (1/2) πr^2
r = 50
Length of rectangle = 2r = 100
Width of rectangle = r
Area = 100 * 50 = 5000
+655 Hey guys! Thanks for using this thread. Just to speed things up, let's post another question.
Mr. Osborne asks each student in her class to draw a rectangle with integer side lengths and a perimeter of 50 units. All of her students calculate the area of the rectangle they drew. What is the difference between the largest and smallest possible area?
+129850 If the perimeter of the rectangle is 50 units......the sum of the length and width must be 25 units
The largest area will be formed when one dimension is 12 units and the other is 13
And the area = 12 * 13 = 156 units^2
The smallest possible area is when one dimension is 1 unit and the other is 24
And the area is 1 * 24 = 24 units^2
The difference in the areas = 156 - 24 = 132 units^2
