a wire is in the form of square of side 11cm bent in circle find area
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Answered by
26
Side of square = 11 cm
Perimeter of square = 11 * 4 = 44 cm
Circumference of circle = Perimeter of square
=> 2*pi *r = 44
=> 2 * 22 *r/7 = 44
=> 44r = 44 * 7
=> r = 7 cm
Radius of circle = 7 cm
Area of circle = pi *r^2
= 22 * 7 * 7 / 7
= 22 * 7
= 154 cm^2
Perimeter of square = 11 * 4 = 44 cm
Circumference of circle = Perimeter of square
=> 2*pi *r = 44
=> 2 * 22 *r/7 = 44
=> 44r = 44 * 7
=> r = 7 cm
Radius of circle = 7 cm
Area of circle = pi *r^2
= 22 * 7 * 7 / 7
= 22 * 7
= 154 cm^2
Answered by
7
Length of wire = perimeter of square. Length of wire = 4 × 11 cm = 44cm. Now, the perimeter of circle is 44 cm. 2πr = 44 cm. R= 7 cm. Area of circle = πr^2 = 154 square cm.
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