Question

Find the theta of a component which has 45% of total share.​

Answer 1

162° is the angle of a component which has share of 45%

Step-by-step explanation:

in a circle 360°  represent 100% share

to find  the theta θ  of a component which has 45% of total share.

=> θ / 360  = 45/100

=> θ = 162°

162° is the angle of a component which has share of 45%

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Answer 2

θ of a component  =$162^o$

Step-by-step explanation:

In a pie-chart, the different components or observations are expressed by the areas of a circle and the entire circle represents the addition (sum)  of the values of all the components.

The central angle for a component is given by:

$Central \, angle\, for \, a \, component\, = \frac{Value\, of \, the\, component}{Sum\, of \, the \, values\, of \, all\, components}\, \times 360^o$

Let central angle of a component = θ

Central angle (θ) = $\frac{45}{100}\times 360^o$

Central angle (θ) = $160^0$

OR

θ of a component = 45$\%$ : 0.45$\times$$360^o$

θ of a component  =$162^o$

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