Question

A area of sector of a circle with radius R and angle with degree measure P is

Answer 1

Answer:

Radius = R

Theta / Degree = P

Formula = $\frac{\pi r^{2}p }{360}$

Answer 2

A area of sector of a circle with radius R and angle with degree measure P

Step-by-step explanation:

1. As angle made by arc on centre of circle increase, area of sector also increase . Its means this is a case of direct proportion.

2. $\frac{A_{P}}{A_{360}}=\frac{P}{360}$      ...1)

   where

$A_{P}$ = area of sector by an arc which subtend angle P degree.

$A_{360}$ = area of sector by an arc which subtend angle 360° degree = $\pi R^{2}$        ...2)

   Where R = radius of circle

3. Equation 1) can be written as

 $A_{P}=\frac{P}{360}\times A_{360}=\frac{P}{360}\times \pi R^{2}$

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