1.

An arc of length r unit subtends an angle theta at the centre of circle of radius r. find the value of theta

Answer»

Answer:

LENGTH of ARC, L = 20π cm

Angle subtended by an Arc , θ = 144°

Length of Arc, l = (θ/360) × 2πr

20π = (144°/360°) × 2× π × r

20 = (144°/360°) × 2r

20 = (12/30) × 2r

20 = (⅖)× 2r

20 × 5 = 4r

r = 100/4

r = 25 cm  

Radius of the circle, r = 25 cm

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