If the area and arc length of the sector of a circle are 60 $c m^{2}$ and 20 cm respectively, then the diameter of the circle is

6 cm

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12 cm

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24 cm

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36 cm

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Solution

The correct option is B 12 cm
Arc length of the Circle : Area of the Sector = Perimeter of the Circle :Area of the Circle

Let the radius of the circle be 'r'.

Hence, $20 : 60$ = $2 π r : π r^{2}$

$1 : 3 = 2 : r$

$r = 6$ (Product of Means = Product of Extremes)

Therefore, $D i a m e t e r = 2 r = 12 c m$

Suggest Corrections

Similar questions

State true or false.
The area in $c m^{2}$ of a sector of a circle with radius 6 cm and angle of the sector $60^{\circ}$ is 20.

6

20

6

c m

15

c m

3.5

3.85

c m^{2}

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