Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given that r = 3.0 cm and Θ = π/4

The arc length of a circle is, 2.355 cm

Step-by-step explanation:

Use the fact  that the length of an arc intercepted by an angle is proportional to the radius.

Let l be the length of an arc and r be the radius of the circle.

then;

lxr

then;

l=r0 [1]

It is also given: r = 3 cm and 0=pie/4

Substitute the given values in [1] we have;

Use pie=3.14

1=3*pie/4=3*3.14/4=2.355cm

Therefore, the arc length of a circle is, 2.355 cm

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step-by-step explanation: