The radius will be 7.96 yards.
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A circle with a radius of 50 units has a circumference of 314.16 units.
The radius is 7.96
The circumference is directly proportional to the radius. So increasing the radius by 50% causes the circumference to also increase by 50%.
circumference of a circle = 2 * pi * radiusso 2 * 3.14159 * 50 = 314.159 metres
there is no constant that will calculate this, since circumference is calculated with only radius and area with radius squared. you will have to calculate the radius using the initial circumference and then the radius again for the new circumference (with the 50 added). then calculate an area for each radius..then you can see the increase.