Question

area of a sector of angle p(in degrees) of acircle with radius R is
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Answer 1

GIVEN :-

• Angle of sector ϴ = p
• R = radius.

TO FIND :-

• The value Area of sector of angle p in degrees.

SOLUTION :-

✭ Area of sector,

As we know that area of sector of a Circle is given by,

➟ Area of sector = ϴ/360° × πR².

• ϴ = p

➟ Area of sector = p/360° × πR²

Hence the area of sector is p/360° × πR².

✭ Extra Formulas,

➛Area of Circle = πr²

➛Circumference of Circle = 2πr

➛circumference if Circle = πd.

➛ Area of sector = ϴ/360° × πr².

Answer 2

$\large\sf{\underline{\underline{\pink{Given}}}}$

• Angle of sector (θ) = p
• Radius = R

$\large\sf{\underline{\underline{\pink{To\: Find}}}}$

↪ Area of a sector of angle p (in degrees) of acircle with radius R.

$\large\sf{\underline{\underline{\pink{Solution}}}}$

$\boxed{\underline{Area\: of\: sector\: = \dfrac{θ}{360} × πr^2}}$

★ Putting the values in the formula...

⟹ $\sf{Area\: of\: sector\: = \dfrac{θ}{360} × πR^2}$

⟹ $\sf{Area\: of\: sector\: = \dfrac{p}{360} × πR^2}$