A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

Question

Elan Coil [88]

3 years ago

6

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

arc is °.

Mathematics

2 answers:

Dominik [7] · Answer 1 · 2022-05-24T22:59:15+03:00

The arc length of a subtending arc on a circle has the formula:
s = rθ
where is the arc length
r is the radius
θ is the angle subtended

So,
θ = s/r = 8π / 4.5 = 16π/9

We multiply it with 180/π to convert it to degrees.
(16π/90) (180/π) = 320°

Kisachek [45] · Answer 2 · 2022-05-25T00:45:53+03:00

Kisachek [45]3 years ago

3 0

The correct answer

320

:)