An arc length 3 feet is cut off by a central angle of pi/4 radians, find the area of the sector formed

Area of the sector = 5.73 feet²

Step-by-step explanation:

An arc length is 3 feet is cut off by a central angle of

We have to find the area of the sector formed.

Area of the sector formed =

If the arc length = 3 feet

Central angle =

Since arc length =

3 = r(\frac{\pi }{4})

r =

Now area of the sector =

=

=

=

= square feet

Therefore, area of the sector formed is 5.73 feet²

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step-by-step explanation: