state answer in square cm rounded to the nearest whole number
2007-04-21 05:57:18 · 4 answers · asked by jogger 1 in Science & Mathematics ➔ Mathematics
If one side of the square is 4 cm, then the diagonal of the square is the hypotenuse of a triangle with sides 4 and 4.
4^2 + 4^2 = d^2
16 + 16 = d^2
32 = d^2
5.66 = d
So the radius of the circle is 5.66/2 = 2.83 cm
and the area of the circle is
pi * 2.83^2 = 25 square cm (rounded)
2007-04-21 06:05:44 · answer #1 · answered by ecolink 7 · 0⤊ 0⤋
If the side of the inscribed square is 4, then its diagonal is 4√2. This is also the diameter of the circle. Therefore the radius of the circle is 2√2.
Area = πr² = π(2√2)² = 8π cm²
which is 25 cm² rounded to the nearest whole #
2007-04-21 06:24:11 · answer #2 · answered by Kathleen K 7 · 0⤊ 0⤋
Assuming that A to B is one side of the square, first find the diagonal of the square, which is the hypotenuse of the right triangle which represents one diagonal half of the square. This hypotenuse is equal to the diameter of the circle. Divide it by 2 to get the radius of the circle, then calculate the area of the circle by the standard formula.
2007-04-21 06:03:32 · answer #3 · answered by PaulCyp 7 · 1⤊ 0⤋
I assume AB is the length of a side of the square.
Then digaonal of square = 4sqrt(2).
But this is the diameter of the circle
So area of circle = pid^2/4 = pi (4sqrt(2))^2/4 = =8pi which is approximately 25cm^2.
2007-04-21 06:05:48 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋