SOLUTION: A piece of wire in the form of an arc of a circle of radius 28cm subtends an angle of 45 degrees at the centre of the circle. It is bent into the form of a complete circle. Find th

Question 1106474: A piece of wire in the form of an arc of a circle of radius 28cm subtends an angle of 45 degrees at the centre of the circle. It is bent into the form of a complete circle. Find the radius of this circle. Find the arc length first.
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39629) (Show Source): You can put this solution on YOUR website!
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piece of wire in the form of an arc of a circle of radius 28cm subtends an angle of 45 degrees at the centre of the circle.
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-----the length of this piece of wire

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bent into the form of a complete circle. Find the radius of this circle.
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-------------radius of the piece when formed into a circle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A piece of wire in the form of an arc of a circle of radius 28cm subtends an angle of 45 degrees at the centre of the circle.
It is bent into the form of a complete circle.
Find the radius of this circle. Find the arc length first.
:
* = 22 cm is the length of the arc and the wire
:
Find the radius of a circle that has a circumference of 22 cm
= 22
r =
r = 3.5 cm
:
As you would expect the ratio of the greater circle to the smaller is 8:1
just as 360 degrees is to 45 degrees
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