Prove that (1) the area of a sector of c...

Prove that (1) the area of a sector of circle with radius r and central angle `theta^(@)` is `(1)/(2)r^(2)theta`
(ii) the area of a sector of a circle of radius r and an arc of length s is `(1)/(2)rs`

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Knowledge Check

If theta is the angle (in degrees) of a sector of a circle of radius r, then area of sector is

A

`theta/360 xx pi r^(2)`

B

`theta/180 xx pi r^(2)`

C

`theta/360 xx 2pi r`

D

`theta/180 xx 2pi r`

The area of a sector of a circle with radius r , making an angle of x^(@) at the centre is

A

`x/180xx2pir`

B

`x/180xxpir^(2)`

C

`x/360xx2pir`

D

`x/360xxpir^(2)`

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Find the area of sector of a circle with radius 6cm, if angle of the sector is 60^(@)

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