An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal

Question

san4es73 [151]

3 years ago

7

An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal

places) is.... 114.59 - right?

Mathematics

2 answers:

Kruka [31] · Answer 1 · 2022-01-06T05:25:52+03:00

Kruka [31]3 years ago

8 0

You were correct OP (at least on APEX)

Iteru [2.4K] · Answer 2 · 2022-01-06T03:01:37+03:00

Iteru [2.4K]3 years ago

3 0

An arc of length 30 m : l = 30 m.
r = 15 m, ∠ A = ?
Formula for the length of an arc is:
l = r π A / 180° ( where A is the central angle )
A = l · 180 / r π = ( 30 · 180 ) / ( 15 · 3.1415926 ) = 114.43 °
This is very close to your result.