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Question
Math
Posted 2 months ago

\begin{tabular}{l|l|l} 
Q7: & In a pie graph showing a survey of 180 & A. 100100^{\circ} \\
& people, 100 say "Yes" to tax increases. & B. 180180^{\circ} \\
& What would the angle be at the centre & C. 200200^{\circ} \\
& of the circle for the "Yes" sector? & D. 260260^{\circ}
\end{tabular}
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Answer from Sia
Posted 2 months ago
Solution by Steps
step 2
Next, we convert this fraction to an angle in degrees. Since a full circle is 360360^\circ, we multiply the fraction by 360360^\circ: 100180×360\frac{100}{180} \times 360^\circ
step 3
Simplifying the multiplication: 100180×360=100×360180=36000180=200\frac{100}{180} \times 360^\circ = \frac{100 \times 360}{180} = \frac{36000}{180} = 200^\circ
C
Key Concept
Fraction to Angle Conversion
Explanation
To find the angle in a pie chart, multiply the fraction of the total represented by the sector by 360360^\circ.

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