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#### karush

##### Well-known member

- Jan 31, 2012

- 2,820

\(\displaystyle 4cm\)

View attachment 1006

The points \(\displaystyle A, B,\) and \(\displaystyle C\) Lie on the circle.

The point \(\displaystyle D\) is outside the circle, on \(\displaystyle (OC)\)

Angle \(\displaystyle ADC=0.3\) radians and angle \(\displaystyle AOC=0.8\) radians

(a) find \(\displaystyle AD\)

I used

*law of sines*

\(\displaystyle \frac{4}{\sin{0.3}}=\frac{x}{\sin{0.8}}\)

\(\displaystyle x \approx 9.71cm\)

there are more questions to this but want to make sure this is correct