# Circles question (point of tangency stuff)

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• December 8th 2008, 03:11 PM
s3a
Circles question (point of tangency stuff)
I don't know how to do #9. Please help!
• December 9th 2008, 04:17 AM
masters
Quote:

Originally Posted by s3a
I don't know how to do #9. Please help!

(a)

Arc AC = 88 degrees (half of angle B)
Arc AB = 110 degrees
Arc BC = 360 - 88 - 110 = 162

b = 1\2 arc BC = 1/2 (162) = 81 degrees

(b)

The square of the tangent is equal to the external part of the secent times the whole secant.

$5^2=4(x+4)$

$25=4x+16$

Finish up.

(3)

Use the Pythagorean theorem to find the length of the other chord segment which is 4. (It's a 3-4-5 right triangle.)

If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.

$4x=(3)(6)$

Finish up.