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in Areas Related To Circles by (49.3k points)
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In a circle, 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°?

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i. Length of the arc having central angle 25° = 4 cm

Three times of 25 is 75.

Length of the arc having central angle 75° = 4 x 3 = 12 cm

ii. Length of the arc having central angle 75° and radius r = 12 cm

Length of the arc having central angle 75° and radius 1 1/2 r

\(=12\times1\frac{1}{2}=18\) cm

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