If the fraction of green portion is represented as x-r- then find x-r-A- 29

The correct option is A 29The angle at the centre of circle is 360^∘ Fraction of yellow portion = nbsp; 24/360 = 1/15. ∴ Fraction of green portion nbsp; = ...

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Standard VI

Mathematics

Dividing a Circle into Angles of Given Measure

If the fracti...

Question

If the fraction of green portion is represented as $\frac{x}{r}$ , then find $x + r$ .

29

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Solution

The correct option is A 29
The angle at the centre of circle is $360^{\circ}$

Fraction of yellow portion = $\frac{24}{360} = \frac{1}{15}$ .

$∴$ Fraction of green portion $= 1 - \frac{1}{15} = \frac{14}{15}$ .

Given,
$\frac{14}{15} = \frac{x}{r}$

$⟹ x = 14 and r = 15$
$⟹ x + r = 29$

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If the fraction of green portion is represented as xr, then find x+r. 29

The correct option is A 29The angle at the centre of circle is 360∘ Fraction of yellow portion = 24360=115. ∴ Fraction of green portion =1−115=1415. Given, 1415=xr ⟹x=14 and r=15 ⟹x+r=29

If the fraction of green portion is represented as $\frac{x}{r}$ , then find $x + r$ .

29

The correct option is A 29
The angle at the centre of circle is $360^{\circ}$

Fraction of yellow portion = $\frac{24}{360} = \frac{1}{15}$ .

$∴$ Fraction of green portion $= 1 - \frac{1}{15} = \frac{14}{15}$ .

Given,
$\frac{14}{15} = \frac{x}{r}$

$⟹ x = 14 and r = 15$
$⟹ x + r = 29$