Question

In the diagram below, what is the approximate length of the minor arc ?

Answer 1

Option A is correct

the approximate length of the minor arc is, 48 cm

Explanation:

Length of an arc is given by:

`l = r \theta` .....[1]

here r is the radius of the circle from the center and
`\theta` is the angle in radian.

From the given figure, we have;

r = 23 cm

Use conversion:

1 degree = 0.0174533 radian

then

120 degree = 2.094396

`\theta = 2.094396` radian.

Substitute these in [1] we have;

`l = 23 \cdot 2.094396 = 48.171108` cm

Therefore, the approximate length of the minor arc is, 48 cm

Answer 2

arc length = given angle/360 x 2 x PI x radius

120/450 x 2 x 3.14 x 23 = 48.17

round to 48 cm