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प्रश्न
Find the angle subtended at the centre of circle of radius ‘a’ cm by an arc of length
`(api)/4` 𝑐𝑚
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उत्तर
Length of arc =`(api)/4`cm
Radius r = ‘a’ cm
𝜃 = angle subtended at centre
arc length =`theta/360^@`× 2𝜋𝑟
=`theta/360^@`× 2𝜋𝑎
∴`theta/360^@× 2pia =(api)/4`
⇒` theta =(9pi×360^@)/(4×2pia)`= 45°
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