Question

What is the length of the arc shown in​ red?

Simplify your answer. Type an exact​ answer, using pi as needed. Use integers or fractions for any numbers in the​ expression.

Answer 1

arc = 3.75π cm

Explanation:

the central angle subtended by the arc is congruent to the arc , that is 45°

the arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr ×
`(45)/(360)` ( r is the radius )

= 2π × 15 ×
`(1)/(8)`

= 30π ×
`(1)/(8)`

=
`(30)/(8)` π

=
`(15)/(4)` π = 3.75π cm