Question

The circumference of C is 72 cm. what is the length of arc AB (the minor arc)? The center angle is 45

Answer 1

Arc length (AB ) = 9 cm .

Explanation:

Given : The circumference of C is 72 cm and The center angle is 45.

To find : What is the length of arc AB (the minor arc).

Solution : We have given that

circumference of C = 72 cm.

The center angle = 45.

Formula of arc length =
`2\ pi\ r ((central\ angle)/(360))`.

We have circumference = 2 pi r

Substitute the values arc length =
`72 ((45)/(360))`.

Arc length =
`((3240)/(360))`.

= 9 cm

Therefore ,Arc length (AB ) = 9 cm .

Answer 2

The arc length is given by:
2πr(theta)/360
given the circumference is 72 cm, the arc length will be:
AB=45/360*C
AB=45/360*72
AB=9 cm
the answer is 9 cm