QuestionCalculate the arc length for a circle with radius 35 m and angle $\frac{\pi}{4}$ radians.

Studdy Solution

STEP 1

Assumptions1. The radius of the circle is35 meters. The angle subtended by the arc at the center of the circle is $\frac{\pi}{4}$ radians

STEP 2

The formula to find the length of an arc of a circle is given by $Arc\, length = r \\times \theta$ where $r$ is the radius of the circle and $\theta$ is the angle in radians subtended by the arc at the center of the circle.

STEP 3

Now, plug in the given values for the radius and the angle to calculate the length of the arc.
$Arc\, length =35m \\times \frac{\pi}{}$

STEP 4

Calculate the arc length.
$Arc\, length =35m \\times \frac{\pi}{4} = \frac{35\pi}{4}m$ The length of the arc of the circle is $\frac{35\pi}{4}$ meters.

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