The radius r of the circle is 916.36 m.
Concept: Central angles subtended by arcs of the same length are equal. The central angle of a circle is twice any inscribed angle subtended by the same arc. Angle inscribed in semicircle is 90°. An angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
Given: Length of arc = 14m
Central angle = 7/8 radian
Length of an arc is x/360*2πr
where x is the central angle.
7/8*360 * 2*22/7*r = 14
r= (14*8*360*7)/2*22*7
r= 282240/308
r= 916.36 m
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