Question

Find the arc length of the partial circle.

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

Answer 1

arc = 7.5π units

Explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

the angle subtended at the centre by the arc is 360° - 90° = 270° , then

arc = 2π × 5 ×
`(270)/(360)`

= 10π ×
`(3)/(4)`

=
`(30\pi )/(4)`

= 7.5π