\begin{tabular}{l|l|l}
Q7: & In a pie graph showing a survey of 180 & A. $100^{\circ}$ \
& people, 100 say "Yes" to tax increases. & B. $180^{\circ}$ \
& What would the angle be at the centre & C. $200^{\circ}$ \
& of the circle for the "Yes" sector? & D. $260^{\circ}$
\end{tabular}

Question

\begin{tabular}{l|l|l} 
Q7: & In a pie graph showing a survey of 180 & A. $100^{\circ}$ \
& people, 100 say "Yes" to tax increases. & B. $180^{\circ}$ \
& What would the angle be at the centre & C. $200^{\circ}$ \
& of the circle for the "Yes" sector? & D. $260^{\circ}$
\end{tabular}

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the angle for the "Yes" sector in a pie graph, we first determine the fraction of people who said "Yes". This is given by the ratio of the number of "Yes" responses to the total number of responses: $\frac{100}{180}$. ‖ ‖ step 2 ⋮ Next, we convert this fraction to an angle in degrees. Since a full circle is $360^\circ$, we multiply the fraction by $360^\circ$: $\frac{100}{180} imes 360^\circ$. ‖ ‖ step 3 ⋮ Simplifying the multiplication: $\frac{100}{180} imes 360^\circ = \frac{100 imes 360}{180} = \frac{36000}{180} = 200^\circ$. ‖ ***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 $360^\circ$.⚹◊What is the formula to calculate the angle of a sector in a pie chart?⍭ Generate me a similar question◊

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