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

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#### Solution

Radius (r) = 35 cm

𝜃 = angle subtended at centre = 72°

Length of arc =`theta/360^@`× 2𝜋𝑟

=`7/360× 2 ×22/7× 35`

= 2 × 22 = 44 CMS

Area of sector =`theta/360^@× pir^2`

`= 72/360×22/7× 35 × 35`

= (35 × 22) = 770 cm^{2}

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**Given: **The radius of a circle (r) = `square`

Measure of an arc of the circle (θ) = `square`

Area of the sector = `θ/360^circ xx square`

= `square/360^circ xx square xx square xx square`

= `square xx square xx square`

= 47.10 cm^{2}