[ATTACH]70[/ATTACH]
In the above figure, the rectangle at the corner measures 2 cm x 4 cm. What is the radius of the circle in cm?
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suresh
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[ATTACH]70[/ATTACH]
In the above figure, the rectangle at the corner measures 2 cm x 4 cm. What is the radius of the circle in cm?
------------------
suresh
100 * pi cm^2
hi smarcoder
please post your solution briefly.
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suresh
Let radius of circle = x.
Let side of square = a.
then x = a/2.
AC = x-4
BC = x-2
OC = x.
From Pythagoras theorem we have
OC^2 = OB^2 + BC^2
OB = AC = x-4
x^2 = (x-4)^2 + (x-2)^2
From this we get two solutions for x. NEglectin the lower value of x, we get x = 10.
So area of circle = pi * x^2 = 100 * pi
The Diameter of the circle can be calculated as:
D=sqroot(2*2 +4*4)=sqroot(20)=4.4721 (aprox)
Hence radius of the circle = 2.2360 (aprox)
Sorry i thought u asked area of circle.
Radius = 10 cms
Very nice answer smartcoder.
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suresh