Question

Find the arc length of the partial circle.

Answer 1

The arc length of the partial circle is 7.5π

Calculating arc length

From the question, we are to determine the arc length of the partial circle

The length of an arc can be calculated by using the formula

$l = \frac{\theta}{360^\circ} \times 2\pi r$

Where $l$ is the length of the arc

$\theta$ is the angle subtended

and r is the radius

From the diagram,

θ = 270°

r = 5

Putting the values into the equation, we get

$l = \frac{270 ^\circ}{360^\circ} \times 2\pi \times 5$

$l = \frac{3}{4} \times 2\pi \times 5$

$l = \frac{30\pi}{4}$

$l = \frac{15}{2}\pi$ OR 7.5π

Hence, the arc length of the partial circle is 7.5π

Learn more on Calculating arc length here: brainly.com/question/16552139

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