Posted by **Sarah** on Saturday, April 17, 2010 at 1:08pm.

The table at right shows measurements made on a circle with a one-meter radius. Each entry in the s-column is an arc length,and the adjacent entry in the c-column is the corresponding chord length, both in meters. Explain why c < s, and determine the range of values for c and for s. With s on the horizontal axis and c on the vertical axis, sketch an approximate graph of

c vs s.

s c

0.256 0.255

0.618 0.608

1.234 1.157

1.571 1.414

1.896 1.625

Then.(Continuation)Express s and c in terms of è, the central angle that intercepts s and c. Combine these equations to express c as a function of s. Graph this relationship.

- Geometry/math -
**drwls**, Saturday, April 17, 2010 at 1:23pm
We can't draw graphs for you. You have the data to draw one yourself.

Is your symbol è supposed to be theta? Let's just call it angle A. I will assume it is in radians.

The arc length is

s = Radius*A = A

The chord length is

c = 2 R sin (A/2) = 2 sin (A/2)

c = 2 sin (s/2)

The data in the table fits that equation well.

- Geometry/math -
**sonia**, Monday, August 9, 2010 at 12:02am
USE THE GIVEN SET OF POINTS TO PROVE EACH CONGRUENCE STATEMENT

E(-3, 3), F(-1, 3), G(-2, 0), J(0, -1), K(2,-1), L(1, 2);<EFG=<JKL

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