# Math

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A circular piece of wire has a radius of 12 cm. This is cut then bent to form an arc of a circle whose radius is 60 cm. Find the angle subtended at the centre by this arc. Give your answer to the nearest degree.

Thank you so much!

• Math -

the circumference of the original circle becomes the arc length of the sector.
circumf. of circle = 2πr = 24π

arc = rØ, were Ø is the central angle in radians and r is the radius
so if r = 60
60Ø = 24π

I know π/5 radians = 36° , so

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