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What is the circumference of a circle circumscribed about a square with a perimeter of 40?
Wiki User
∙ 13y ago
Assuming you mean that the circle is touching all 4 corners of the square:
If the perimeter of the square is 40, then each side of the square is 10 (40/4=10). You could find the diameter of the circle by breaking the square up into 2 triangles, drawing a diagonal line through the square. Using pythagorean's theory (a^2+b^2=c^2), we know legs 2 and b (they are each one side of the square, so: (10^2+10^2=c^2). 10^2 is 100, therefore it is (100+100=c^2).
(200=c^2) (√200=c) and the √ of 200 is about 14.142, meaning that the diameter of the circle is √200, which is the same as 10√2, (or approximately 14.142). You multiply the diameter of a circle by pi to get the circumference of a circle. Therefore, the exact answer is (10√2)(π), which would be approximated at 44.42882938158366247015880990 units, where π is pi.
Wiki User
∙ 13y ago
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Is the area of a circle called circumference?
No. The circumference of a circle is the length around the circle, much like the perimeter of a square.
What is called the length of the sides of a square and a circle?
Do you mean perimeter?The sum of the lengths of the four sides of a square is the perimeterThe total length of the circumference of a circle is its perimeter
How is circumference similar to perimeter?
The circumference indicates the path and length around a circle, while a perimeter could be the edge (edge length) length of any regular or irregular shape, such as a square, rectangle, or triangle.
What is the circumference of one square acre?
An acre is an area itself, so a 'square acre' doesn't mean anything. The circumference or perimeter depends on the shape of the acre. The smallest value will be for a circle. For an acre which is a perfect square shape, each side equal, the perimeter is 278.3 yards or 834.9 feet
How much longer is the perimeter of a square than the circumference of a circle if the circumference of the circle is approximately 11 centimeters and the diameter is 3.5 centimeters?
O = pi*D cm = 3,14 * 3,5 cm = 11 cm The circumference from the inside square is Li = 4*(Root from (2*(D/2)square))= 4*Root 2,47 =9,89 cm. The circumference from the outside square is Lo = 4* D = 14 cm.
How do you find the circumference of a circle if only the perimeter is given?
The perimeter of a circle is the circumference. If you mean the circle is drawn around (and touches the 4 corners of) a square, and you know the perimeter of the square, you divide the square's perimeter by 4, do pythagorean's theorem on the 2 sides (legs) to find the hypotenuse, and that hypotenuse will be the diameter of the circle. You then multiply that diameter you get by pi to get the circumference.
Is the area of a circle called circumference?
No. The circumference of a circle is the length around the circle, much like the perimeter of a square.
How do you find the circumference of a circle inside a square the perimeter of the square is 128?
It is: 128/4 = 32 which is a side of the square and so 32*pi is the circumference of the circle
Which is longer the circumference of a circle with a five inch diameter or the perimeter of a square that measures 4 inches on a side?
The square because its perimeter is 16 inches while the circumference of the circle is 15.708 inches.
What percent of the perimeter of a square is the circumference of the circle?
The answer depends on the relationship between the square and the circle. For example, is the circle inscribed in the square or the square in the circle or something else?
What percent of a perimeter of the square is the circumference of a circle?
The answer depends on their relative size: is the circle inside the square, the square inside the circle or something else?
What is called the length of the sides of a square and a circle?
Do you mean perimeter?The sum of the lengths of the four sides of a square is the perimeterThe total length of the circumference of a circle is its perimeter
A circle is circumscribed about a square if the sides are 6 what is the approximate circumference of the circle?
The side of the square is 6. The diagonal of the square is 6 sqrt(2).The diagonal of the square is also the diameter of the circle.The circumference of the circle = pi times the diameter = 6 pi sqrt(2) = 26.657 (rounded)
Circumscribe in a sentence?
He circumscribed the square with a circle
What is the circumference of circle inside a square with a perimeter of 32 inches?
The is not stated that the circle inside the square was the greatest possible circle, so all one can say is 8pi at most.
What is the circumference of a square?
Circumference refers to the distance around the outside of a circle. The distance around a square is its perimeter, which is the sum of the lengths of the four sides. Since all sides of a square are of the same length, the perimeter of a square is also four times the length of one side.
The circumference of a circle and the perimeter of a square can intersect at a maximum of how many points?
Whether the square is inside or outside the circle,they can't have more than 4 common points.
