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°?

Answer :

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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PREVIOUSIn a circle, the length of an arc of central angle 40° is 3π centimetres. What is the perimeter of the circle? What is its radius?NEXTFrom a bangle of radius 3 centimetres, a piece is to be cut out to make a ring of radius centimetres.i) What should be the central angle of the piece to be cut out?ii) The remaining part of the bangle was bent to make a smaller bangle. What is its radius?

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RELATED QUESTIONS :

From a bangle of radius 3 centimetres, a piece is to be cut out to make a ring of radius centimetres.

i) What should be the central angle of the piece to be cut out?

ii) The remaining part of the bangle was bent to make a smaller bangle. What is its radius?

Kerala Board Mathematics Part-2