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 cm2
Concept: Areas of Sector and Segment of a Circle
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