Question

Find the arc length of the partial circle. length is 1.**See attached photo**​

Answer 1

Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)$

                 $=2 \times 3.14 \times 1\left(\frac{90^\circ}{360^\circ}\right)$

                $=2 \times 3.14 \times 1\left(\frac{1}{4}\right)$

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.