Question

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 1

Measure of the central angle for

Corn potatoes=28°48'

Carrot=39°36'

Green beans=43°12'

Corn=54°

Broccoli=72°

Other=122°24'

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=
`\frac{\text{given percentage of object }}{\text total percentage} * 100`

Take, Total number of objects = 100

Total Number of corn Potatoes =8% =
`(8)/(100) *100`=8

Total numbe of Carrot=11% =
`(11)/(100) * 100`=11

Total number of Green beans =12%=
`(12)/(100) *100`=12

Total number of Corn=15%=
`(15)/(100) * 100`=15

Total number of Broccoli=20%=
`(20)/(100) * 100`=20

Total numbe of other objects=34%=
`(34)/(100)*100`=34

Now ,find the angle measure by the formula

angle measure =
`\frac{\text{given number of object}}{\text{Total number}}*360`

Where whole angle made by circle=360

Angle measure for corn Potatoes=
`(8)/(100) *360`=28°48'

Angle measure for Carrots=
`(11)/(100) *360`=39°36'

Angle measure for Green beans=
`(12)/(100) *360`=43°12'

Angle measure for Corn=
`(15)/(100) * 360`=54°

Angle measure for Broccoli=
`(20)/(100) *360`=72°

Angle measure for other =
`(34)/(100) * 360`=122°24'