Question

Math

Posted 2 months ago

```
\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}
```

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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 $360^\circ$, we multiply the fraction by $360^\circ$: $\frac{100}{180} \times 360^\circ$

step 3

Simplifying the multiplication: $\frac{100}{180} \times 360^\circ = \frac{100 \times 360}{180} = \frac{36000}{180} = 200^\circ$

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 $360^\circ$.

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