### SAT Prep Class: Solving Area Proportions

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 SAT Prep Question #20 Question: If the shaded region of the circle is 1/6 of the circle, what is the measure of angle PQR? To solve this problem, you will need to know that an entire circle encompasses 360°. This is an important geometric fact and it's a good idea to remember it for problems like this.? You know from the question that the shaded region is 1/6 of that circle. Therefore, you can conclude that the angle measure formed by the shaded region will be 1/6 of?360°.? Solve the Problem 1. Since the angle of the shaded region is 1/6 of the circle, and the circle is?360°, you'll need to calculate 1/6 of?360°.? 2. Set up an equation to determine the measure of the angle. Since you want to find a fraction of 360, put 360 over 1 and multiply the fractions together:? 1? x ?360 = measure of angle PQR 6 ? ? ? 1 3. Cross cancel 6 and 360 to reduce your equation. Since 6 goes into 360 60 times, your equation now reads:? 1? x ?60?= 60 1 ? ? ? 1 4. The measure of angle PQR is 60°. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/solving-area-proportions/

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