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Pie Chart Angle

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Pie Chart Angle


1. **State the problem:** We have 60 people surveyed, 22 of whom said cycling is their favorite hobby. We want to find the correct angle on a pie chart to mark the cycling section. 2. **Calculate the fraction of people who like cycling:** $$\frac{22}{60} = \frac{11}{30} \approx 0.3667$$ 3. **Convert this fraction to an angle in degrees:** Since a full circle is 360°, the angle for cycling is: $$360^\circ \times 0.3667 \approx 132^\circ$$ 4. **Interpret the protractor scale:** The protractor runs from 0° at the bottom (6 o'clock) to 180° at the top (12 o'clock) on the right half of the circle. 5. **Locate the mark for cycling:** Since 132° is between 0° and 180°, the mark should be placed at 132° on the protractor scale, which is between points labeled around 120° and 150° on the right half of the circle. **Final answer:** The correct place to make a mark for the cycling section is at approximately **132°** on the protractor scale from the 6 o'clock position moving counterclockwise to 12 o'clock.