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

In the diagram below, what is the approximate length of the minor arc ?-example-1
User Ergunkocak
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2 Answers

4 votes

Answer:

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

User Ghollah Kioko
by
8.0k points
3 votes

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

User Lcguida
by
7.9k points

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