a wire is in the form of rectangle 18.7cm long and 14.3cm wide is reshaped and bent into the form of a circle. find the radius of the circle
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Radius = (18.7 +14.3) * 7/ 22
= 10.5
= 10.5
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when a rectangle is bent into a circle , the perimeter of the rectangle is equal to circumference .
PERIMETER OF RECTANGLE:
2(l+b)=2(18.7+14.3)........(given)
=2(33)
=66cm
perimeter of rectangle =circumference
66=2πr
66=2×22/7×r
66×7÷2×22=r
3×7÷2=r
21/2=r
r=10.5cm.
Therefore,
The radius of the circle is 10.5cm.
hope this helps ! ! !
PERIMETER OF RECTANGLE:
2(l+b)=2(18.7+14.3)........(given)
=2(33)
=66cm
perimeter of rectangle =circumference
66=2πr
66=2×22/7×r
66×7÷2×22=r
3×7÷2=r
21/2=r
r=10.5cm.
Therefore,
The radius of the circle is 10.5cm.
hope this helps ! ! !
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