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Can you fit a rectangle 21.5x 24 in a 27 diameter circle?
No. The diagonal of the rectangle is a little over 32.2, and nothing that long can fit into a circle with a diameter of 27.
How many times will a circle with a diameter of 10.5 cm fit around a sphere with a radius of 5.25 cm?
Infinity because the circumference of the circle is the same as the circumference of the sphere.
Can you fit a circle with a circumference of 30 inches inside a square with an area of 100 inches squared?
Yes because the diameter of the circle is less than the sides of the square.
How many 90 degree arcs can fit in one circle?
4 because there are 360 degrees around a circle
Is the area of a circle bigger than the area of a square?
It depends on the diameter of the circle and the width of the square, if they are the same then the answer is no. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
