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The Absolute Best Books to Ace Pre-Algebra to Algebra II Arc Length and Sector Area – Example 1: Find the length of the arc. Round your answers to the nearest tenth. \((π=3.14), r=24\) \(cm\), \(\theta=60^\circ\) Solution: Use this formula: length of a sector \(=\color{blue}{(\frac{θ}{180})πr}\) length of a sector \(=(\frac{θ}{180})πr\) \(=(\frac{60}{180})π(24)=(\frac{1}{3})π(24)=8×3.14 \cong 25.1 \) \(cm\) Arc […]
Missing Sides and Angles of a Right Triangle – Example 1: Find AC in the following triangle. Round answers to the nearest tenth. Solution: \(sin\) \(θ=\frac{opposite}{hypotenuse}\). \(sin\) \(45^\circ=\frac{AC}{8}→8 ×sin 45^\circ=AC\),now use a calculator to find \(sin\) \(45^\circ\). \(sin\) \(45^\circ=\frac{\sqrt{2}}{2}→\cong 0.70710\) AC\(=\) \( 0.70710 \) \(×\) \( 8 \) \( \cong 5.7 \) → AC\(=5.7\) The […]
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