Question

The circumference of a circle is 60 cm. What is the length of an arc with central angle 90°.​

Answer 1

Answer:

the answer is : 15

Step-by-step explanation:  

the angle of the total circle is 360° so we want the length of the arc with central angle 90°

so we can calculate it easily

360° -----> 60cm

90°   -----> X

X = (90*60)/360= 15 cm

Answer 2

Given:

Circumference=60 cm

Central angle with the arc=90°

To find:

The length of the arc

Solution:

The required length is 15cm.

The given circle forms a complete angle of 360°.

So, its boundary's length is the same as its circumference.

We are given the angle made by the arc is 90°.

The arc's length=angle made by the arc/360°×circle's circumference

Using the values,

Arc's length=90°/360°×60

=1/4×60

=60/4

=15cm

Therefore, the arc's required length is 15 cm.