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.
Take, Total number of objects = 100
Total Number of corn Potatoes =8% = [tex]\frac{8}{100} \times100[/tex]=8
Total numbe of Carrot=11% =[tex]\frac{11}{100} \times 100[/tex]=11
Total number of Green beans =12%=[tex]\frac{12}{100} \times100[/tex]=12
Total number of Corn=15%=[tex]\frac{15}{100} \times 100[/tex]=15
Total number of Broccoli=20%=[tex]\frac{20}{100} \times 100[/tex]=20
Total numbe of other objects=34%=[tex]\frac{34}{100}\times100[/tex]=34
Now ,find the angle measure by the formula
angle measure =[tex]\frac{\text{given number of object}}{\text{Total number}}\times360[/tex]
Where whole angle made by circle=360
Angle 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'
