Question

the circumference of a circle is 60 cm what is the length of arc of 90°?

Answer 1

15 centimeters.......

Answer 2

circumference = 64 cm

We know that the formula for the circumference is:

C = 2*r*pi

==> 64 = 2*pi*r

To find r , we will divide by 2*pi

==> r= 64 / 2*pi = 32/ pi

Then the radius of the circle is:

r = 32/pi

Now we need to find the length of the arc such that the angle = 30 degrees.

Then we now that the arc length is:

a = r*2*pi * 30/ 360

= r*pi*30/ 180

= r*pi / 6

= ( 32/pi) * pi / 6

= 32/ 6 = 16/ 3

==> The arc length is 16/3 units...


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