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Twenty metres of wire is available for f...

Twenty metres of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in `s qdotm)` of the flower-bed is: 25 (2) 30 (3) 12.5 (4) 10

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To solve the problem of maximizing the area of a flower-bed in the form of a circular sector, we will follow these steps: ### Step 1: Define the variables Let \( R \) be the radius of the circular sector and \( \theta \) be the angle in radians of the sector. The total length of the wire available for fencing is given as 20 meters. ### Step 2: Write the equation for the length of the fencing The length of the fencing consists of two radii and the arc length, which can be expressed as: \[ ...
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