Answer:
B. 33.6 cm
Explanation:
To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;
First write down the formula for calculating length of an arc
If the angle is measured in degree, then the formula for calculating the length of an arc is :
length of an arc = Ф/360 × 2πr
but if the angle is measured in radians, then the formula for calculating length of an arc will be:
length of an arc = r Ф
where r is the radius and Ф is the central angle in radians
In the case of the question given to us, the angle is given in radians, so we will use the second formula
angle Ф = 2.8
radius = 12 cm
length of an arc = r Ф
=12 × 2.8
=33.6
Length of the arc = 33.6 cm