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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?

2 Answers

4 votes

You were correct OP (at least on APEX)

User Fuzzyma
by
9.4k points
4 votes
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.
User Talib
by
7.3k points

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