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Question
What is the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm?
Solution
We have
`r=5 cm`
length of the arc(l)=3.5 cm
Now we will find the area of the sector.
Area of the sector=`1/2xxlr`
Substituting the values we get,
Area of the sector=`1/2xx3.5xx5`..........(1)
Now we will simplify the equation (1) as below,
Area of the sectors=`1/2xx17.5`
Area of the sectors=`8.75`
Therefore, area of the sector is `8.75 cm^2`
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