Answer:
[tex]\approx \bold{85.98^\circ}[/tex]
Step-by-step explanation:
Given that
Radius of circle = 10 metres
Bryan drives 15 metres around the circle.
To find:
The angle of Maple street to Elm street = ?
Solution:
Kindly refer to the image attached.
The Elm street meets the circle at A.
Maple street at B.
Given that arc length AB = 15m
Radius of circle = 10 m
We have to find the angle of arc.
Let us use the formula:
[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]
Converting to degrees:
[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]
