# 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

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**Need a fast expert's response?

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