Question

Find the arc length of the partial circle.

Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.


_____ Units

Answer 1

9.423

Explanation:

Using 3.141 as Pi

Using the Arc length equation:

Arc length =
`\pi d * angle/360`

As the angle of the missing section is 90 degrees, and all angles around a point must be 360 degrees, it leaves 360-90 = 270 degrees for the angle.

As the radius is 2, the diameter is twice the length of the radius so 2*2 = 4 so the diameter is 4.

`\pi 4 * 270/360`

3.141 * 4 = 12.564

270/360 = 0.75

12.564 * 0.75 = 9.423

So 9.423 is the arc length.