Question

Find the arc length of the partial circle.

Answer 1

Known :

r = 5 cm

θ = 360° - 90° = 270°

Asked :

Arc length of the partial circle = ...?

Answer :

Arc length

$= \frac{θ}{360} \times 2\pi r \\ = \frac{270}{360} \times 2 \times 3.14 \times 5 \\ = \frac{3}{4} \times 31.4 \\ = \frac{3}{4} \times \frac{314}{10} \\ = \frac{942}{40} \\ = 23.55 \: cm$

So, the arc length of the partial circle is 23,55 cm

Hope it helps and is useful :)