Question

In the figure, the length of the chord $A B$ is 4 $\mathrm{cm}$ and the length of the arc $A B$ is 5 $\mathrm{cm} .$ Find the central angle $\theta,$ in radians, correct to four decimal places. Then give the answer to the nearest degree.

          In the figure, the length of the chord $A B$ is 4 $\mathrm{cm}$ and the
length of the arc $A B$ is 5 $\mathrm{cm} .$ Find the central angle $\theta,$ in
radians, correct to four decimal places. Then give the
answer to the nearest degree.

Added by Michael J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/13/2023

Step 1

We know that $s=5$ and we need to find $\theta.$ Second, we can use the formula for the length of a chord, $c=2r\sin\frac{\theta}{2},$ where $c$ is the length of the chord and $r$ is the radius of the circle. We know that $c=4.$ Third, we can use the fact that Show more…

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In the figure, the length of the chord $A B$ is 4 $\mathrm{cm}$ and the length of the arc $A B$ is 5 $\mathrm{cm} .$ Find the central angle $\theta,$ in radians, correct to four decimal places. Then give the answer to the nearest degree.