A circle has an area of 200(pi)cm(squared) find it's radius.
2007-02-14 16:05:45 · 7 answers · asked by ShakeDatLaffyTaffy 2 in Science & Mathematics ➔ Mathematics
We know that the area of a circle is Pi*r^2
Therefore,Pi*r^2=200*Pi cm^2
=>r^2=200*Pi /Pi
=200 cm
=>r=suare root of 200 cm
=14.14cm
2007-02-14 16:13:32 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
Area = R^2 * pi formula for area of a circle
200(pi) = R^2 * pi plug in 200(pi) for area
200 = R^2 divide each side by pi
R = square root of 200 find the square root of each side
R = 10 * the root of two take out a 10 from the radical
Radius is 10 * square root of 2 CM or 14.14 CM
2007-02-14 16:13:17 · answer #2 · answered by wormhole 3 · 1⤊ 0⤋
Area = pi x radius^2 = 200 x pi
radius^2 = sqrt(200)
= sqrt(100 x 2)
= 10 x 1.414 = 14.14 cm
2007-02-14 16:21:01 · answer #3 · answered by skg 2 · 0⤊ 0⤋
since the formula for finding the area of a circle is: (pi)*(radius)^2 then we can say that:
200*(pi)=(pi)*(radius)^2 >>>divide both sides by (pi)
200 = radius^2 >>>take the square root of both sides
sqrt(200) = radius
radius = 10*sqrt(2) centimeters or 14.142135623730950488016887242097 centimeters
2007-02-14 16:13:39 · answer #4 · answered by ? 2 · 0⤊ 0⤋
A=200x(pi)
The formula for the area of a circle is (pi) x r^2
Hence (pi) x r^2 = 200x(pi)
Divide both sides by pi
r^2 = 200
r=sqrt(200) = 14.4cm
2007-02-14 16:12:58 · answer #5 · answered by gumtrees 3 · 0⤊ 0⤋
~14.142cm
-or-
10*Sqrt(2)
2007-02-14 16:13:25 · answer #6 · answered by Anonymous · 0⤊ 0⤋
14.14?
2007-02-14 16:12:54 · answer #7 · answered by King Kee 3 · 0⤊ 1⤋