Mathematics

Tick the correct answer in the following :
Area of sector of angle p (in degrees) of a circle with radius R is
$\dfrac{p}{180} \times 2πR$
$\dfrac{p}{180} \times πR^2$
$\dfrac{p}{360} \times 2πR$
$\dfrac{p}{720} \times 2πR^2$

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We know that,

Area of sector of angle θ and radius r = $\dfrac{θ}{360°} \times πr^2$

Given,

angle = p

Radius = R

Substituting values we get :

$\text{Area } = \dfrac{p}{360} \times πR^2$

Multiplying numerator and denominator by 2, we get :

$\text{Area }= \dfrac{p}{360 \times 2} \times πR^2 \times 2 \\[1em] = \dfrac{p}{720} \times 2πR^2.$

Hence, Option 4 is the correct option.

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