contestada

Find the length of the arc, S, on the circle of radius r intercepted by central angle zero. Express the arc length in terms of Pi. Then round your answer to two decimal places. Radius, r equals 5 inches; central angle, zero equals 175°. First convert the degree measure into radians. Then use the formula S equals 0R, where S is the arc length zero is the measure of the central angle in radians and are is the radius of the circle

Find the length of the arc S on the circle of radius r intercepted by central angle zero Express the arc length in terms of Pi Then round your answer to two dec class=

Respuesta :

Given:-

Radius, r equals 5 inches; central angle, zero equals 175°.

To find the arc length.

So now we use the formula,

[tex]s=r\theta[/tex]

So now we convert the angle from degree to radians. so we get,

[tex]175^{\circ}=\frac{175}{180}\times\pi=\frac{35}{36}\pi[/tex]

So now we substitute the values. so we get,

[tex]s=5\times\frac{35}{36}\pi[/tex]

So simplifying we get,

[tex]\begin{gathered} s=\frac{35}{7.2}\pi \\ s=4.86\pi \end{gathered}[/tex]

So the required acr length is,

[tex]4.90\pi[/tex]

Otras preguntas