In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of the arc and area of the sector.

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Solution

We know that the arc length l and area A of a sector of an angle θ in the circle of radius r is given by and respectively.

It is given that, and.

We will calculate the arc length using the value of r and θ,

Now, we will find the value of area A of the sector

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In a circle of radius 35 cm, an arc subtends an angle of $72^{\circ}$ at the centre. Find the length of the arc and area of the sector.

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