Question

Can anyone help me out? thanks

Answer 1

450 cm

Explanation:

12 degrees is 1/30 of the circumference because there are 360 degrees in a circle.

The minor arc length of 15 is in the same ratio to the circumference as the 2 angles , so the circumference = 30 * 15 - 450 cm.

Answer 2

B = 450 cm

Explanation:

Length of arc = theta/360 * 2 * pi * r

We know the length of the arc = 15, theta = 12

Substitute these values in

15 = 12/360 * 2 * pi * r

15 = 1/30 * 2 * pi * r

Solve for r

15 = 1/15 * pi * r

15*15 = pi * r

225/pi = r

Circumference = 2* pi * r

Circumference = 2 * pi * 225/pi

Circumference = 2 * 225

Circumference = 450 cm