Areas of a sector

**Mukilab** · January 5th 2010, 08:46 AM

Please note if I am incorrect

Question: There is a sector of a circle with centrepoint O. The radius of this circle is 23cm. The angle of the sector is 165 degrees. Work out the area of the sector correct to two significant figures.

I did $(\frac{\pi *23^2}{180})*165$

From which I got (thinking about the significant figs) 1500.

**Soroban** · January 5th 2010, 09:02 AM

Hello, Mukilab!

Your answer is twice the correct answer.

Area of a sector: . $A \:=\:{\color{red}\tfrac{1}{2}}r^2\theta$

**Mukilab** · January 5th 2010, 10:14 AM

theta? What does that mean? I don't understand it outside of trigonometry.

Also what do you mean by twice the correct answer?

**vonflex1** · January 5th 2010, 10:58 AM

theta is the angle in radians

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