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Answer to Question #30948 in Geometry for erkamranazam

Question #30948
two height are 54 and 30 on same base and arc on top of both. so find arc radius
Expert's answer
Theradius of an arc or segment is the radius
of the circle of which it is a part.
A formula is provided below for the radius given the width and height of the
arc.
Given an arc or segment with known width and height:
Radius = H/2 + W^2/8H
where:
W is the length of the chord defining the base of the arc
H is the height measured at the midpoint of the arc's base
So W = 54, H = 30
Radius = 30/2 + 54^2/8*30 = 27.15
Answer: 27.15

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