Question

Find the angle subtended at the centre of a circle of radius 'a' by an arc of length (a pi/4) cm

Answer 1

Answer:

The angle subtended at the centre of a circle is  45° .  

Step-by-step explanation:

Given :  

Length of Arc, l = aπ/4 cm

Radius of a circle ,r = a

Length of Arc, l = (θ/360) × 2πr

aπ/4 = (θ/360°) ×2×π ×a

¼ = (θ/180°)

4θ = 180°

θ = 180/4  

θ = 45°

Angle subtended at the centre of a circle, θ = 45°

Hence, the angle subtended at the centre of a circle is  45° .  

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