Question

The circumference of C is 72 cm. What is the length of AB.
the minor arc

Answer 1

9cm

Explanation:

The CIRCUMFERENCE OF A CIRCLE is the distance round the circle.

It has the formular 2πr.

were r = radius

C = 2πr

72 = 2 × 3.142 × r

72 = 6.284r

dividing bothsides by 6.284

r = 72/ 6.284

r = 11.457

AB is an arc.

Lenght of an arc

`( \alpha )/(360) * 2\pi \: r \\ \\ (45)/(360) * 2 * 3.142 * 11.457 \\ \\ (45)/(360) * 71.995 \\ \\ = 8.999 \\ \\ = 9cm`