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

Answer:

Arc length (AB ) =  9 cm .

Step-by-step 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  = $2\ pi\ r (\frac{central\ angle}{360})$.

We have circumference = 2 pi r

Substitute the values arc length  = $72 (\frac{45}{360})$.

Arc length =  $(\frac{3240}{360})$.

                 =  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