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Question
Find the angle subtended at the centre of circle of radius 5cm by an arc of length `((5pi)/3)` cm
Solution
Radius (r) = 5 cm
𝜃 = angle subtended at centre (degrees)
Length of Arc =`theta/360^@`× 2𝜋r cm
But arc length =`5pi/3`𝑐𝑚
`theta/360^@× 2pi × 5 =(5pi)/3`
`theta=(360^@×pi)/(3×2pi)= 60^@`
∴ Angle subtended at centre = 60°
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