In the circle graph what is the measure of the central angle for corn Potatoes 8% Carrots 11% Green beans 12% Corn 15% Broccoli 20% Other 34%

Answer:Measure of the central angle for Corn potatoes=28°48'Carrot=39°36'Green beans=43°12'Corn=54°Broccoli=72°Other=122°24'Step-by-step explanation:Given, corn potatoe=8%  Carrot=11%Green beans=12%Corn=15%Broccoli=20%Other=34%First, we add the percentage value of all given objects.Now, we convert the percentage value in the number value of each type of objects.using formula : Value of objects in number= [tex]\frac{\text{given percentage of object }}{\text total percentage} \times 100[/tex]   Take, Total number of objects = 100Total Number  of corn Potatoes =8% = [tex]\frac{8}{100} \times100[/tex]=8Total numbe of Carrot=11% =[tex]\frac{11}{100} \times 100[/tex]=11Total number of Green beans =12%=[tex]\frac{12}{100} \times100[/tex]=12Total number of Corn=15%=[tex]\frac{15}{100} \times 100[/tex]=15Total number of Broccoli=20%=[tex]\frac{20}{100} \times 100[/tex]=20Total numbe of other objects=34%=[tex]\frac{34}{100}\times100[/tex]=34Now ,find  the angle measure by the formulaangle measure =[tex]\frac{\text{given number of object}}{\text{Total number}}\times360[/tex]Where  whole angle made by circle=360Angle measure for corn Potatoes=[tex]\frac{8}{100} \times360[/tex]=28°48'Angle measure for Carrots=[tex]\frac{11}{100} \times360[/tex]=39°36'Angle measure for Green beans=[tex]\frac{12}{100} \times360[/tex]=43°12'Angle measure for Corn=[tex]\frac{15}{100} \times 360[/tex]=54°Angle measure for Broccoli=[tex]\frac{20}{100} \times360[/tex]=72°Angle measure for other =[tex]\frac{34}{100} \times 360[/tex]=122°24'