Q. 2

# In the same circle, what is the length of an arc of central angle 25° is 4 centimetres.i) In the same circle, what is the length of an arc of central angle 75°?ii) In a circle of radius one and a half times the radius of this circle, what is the length of an arc of central angle 75°?

In a circle of radius r,

If central angle = x°

Length of arc =

Here,

x = 25°

r = 4 cm

Length of arc =

i) Here,

x = 75°

r = 4 cm

Length of arc =

ii) Here,

x = 25°

r = 1.5 × 4 = 6 cm

Length of arc =

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Kerala Board Mathematics Part-2