Find the ratio of the area of circle to square.
2007-01-07 03:25:18 · 12 answers · asked by Vijay Gupta 2 in Science & Mathematics ➔ Mathematics
The square has an area of 6^2 = 36 cm^2. The circle has a diameter of 6 cm, for a radius of 3 cm, and thus an area of pi*3^2 = 9*pi. The ratio of the area of the circle to the area of the square is thus 9*pi/36 = pi/4.
2007-01-07 03:28:46 · answer #1 · answered by DavidK93 7 · 0⤊ 1⤋
If the side of the square is 6 cm, then that will be the same as the distance from the center of the square (where the diagonals intersect) to the midpoint of any side. The inscribed circle will be tangent to the square at the midpoint. The center of the circle will be at the same point as the center of the square. Therefore, the radius of the circle will be half the length of a side of the square, or 3 cm. The area of the square is the square of the length of a side, or 36 cm^2. The area of a circle is pi times the radius, or 3.14159 (3)^2 = 28.274. The ratio of the area of the circle to the area of the square is about 0.7854.
2007-01-07 03:38:36 · answer #2 · answered by elohimself 4 · 0⤊ 0⤋
The ratio of area of any inscribed circle to the square is always pi/4.
2007-01-07 05:38:18 · answer #3 · answered by Anonymous · 0⤊ 0⤋
As this is a square , so the diameter would be 6 cm, which means the radius of the circle will be 3 cm
The fomula for getting the area of any circle is Pie R square
Where R is the radius and the value of Pie is 22/7
So the area is 22 / 7 X 3 X 3 = 22.285 (approx)
Hope this solves your problem
2007-01-07 03:32:36 · answer #4 · answered by coolguy_de_calcutta 1 · 0⤊ 1⤋
it depends on the size of the two figures. If the square is smaller than the circle and is totally enclosed by the circle, then yes. If the square is inscribed within the circle by drawing straight lines from certain points on the circle's circumference, then no, because the points where they intersect would be within the same points of the circle's boundary, not inside the circle itself. Basically, not if the square's corners are on the same line as the circle that's drawn.
2016-05-23 03:07:51 · answer #5 · answered by Anonymous · 0⤊ 0⤋
area of square is 6^2=36
now radius of circle is d/2=6/2=3
area of circle= 2pie(r)^2
=18pie
ratio =36/18pie =2/pie=7/11 there for ratio is 7:11 circle 7 square 11
2007-01-07 03:48:13 · answer #6 · answered by Anonymous · 0⤊ 0⤋
A1
=area of square
=36sq.cm
Dia of circle
=6cm[ since it is inscribed in the square]
A2
=area of circle
=Pi*D^2/4
=[22/7]*36/4
=28.29 sq.cm
Required ratio
=A2/A1
=28.29/36
=.785
2007-01-07 03:34:43 · answer #7 · answered by openpsychy 6 · 0⤊ 0⤋
Side of Square = Diameter of Circle
Area of circle = pi r^2 = Pi 3^2 = 9 Pi
Area of Square = 6*6 = 36
Ratio of area of circle to squre = 9 Pi : 36 = Pi :4
Hope this one helps. =)
2007-01-07 03:33:19 · answer #8 · answered by ... 1 · 0⤊ 1⤋
if the square has side 6 cm and the circle is inscribed in it, then the circle has diameter 6 cm and therefore radius of 3 cm
area of square = 36 sq cm
area of circle = 9pi sq cm
ratio = 9pi/36 = pi/4
2007-01-07 03:29:08 · answer #9 · answered by socialistmath 2 · 0⤊ 1⤋
Okay so the area of the square is 36cm, there is a circle with a radius of..... and that means......
NO ONE WILL DO YOUR WORK! BUT I WILL HELP IF YOU MAKE AN EFFORT!
Darn it people! :-)
2007-01-07 03:29:36 · answer #10 · answered by John R 4 · 1⤊ 0⤋